Match ends, Arsenal 2, Blackpool 1.
Arsenal will play arch rivals Tottenham in the Carabao Cup quarter-finals after surviving a late fightback from League One visitors Blackpool as both sides finished the game with 10 men.
Gunners full-back Stephan Lichtsteiner slid in his first goal since joining from Juventus before teenager Emile Smith Rowe doubled the Premier League giants' lead after half-time.
Arsenal were coasting until French midfielder Matteo Guendouzi was given a second yellow card for pulling back Jordan Thompson, leaving them facing the prospect of playing the final 35 minutes with a numerical disadvantage.
Blackpool, who are mid-table in the third tier, narrowed the gap when centre-back Paudie O'Connor headed in from a corner.
That meant the game turned into a nervier finish than it should have been for Arsenal, who fielded a much-changed side which still contained several experienced stars.
However, Blackpool were also reduced to 10 men with a few minutes left to play when O'Connor was shown a straight red card for scything down substitute Pierre-Emerick Aubameyang.
O'Connor's dismissal checked Blackpool's momentum as Arsenal stretched their unbeaten run to 13 matches under new manager Unai Emery.
The Gunners, who lost to Manchester City in last season's League Cup final, will host Tottenham in the last eight during the week of 17 December.
The debate over the importance of the League Cup in modern football has long continued, some managers moaning that the competition is a hindrance to their league ambitions, others seeing it as a great opportunity to claim silverware and build a trophy-winning culture.
Emery, who replaced long-serving manager Arsene Wenger in the summer, is likely to fit into the latter category.
The Spaniard has stressed the importance of the Carabao Cup as he looks to win a trophy in his first season at Emirates Stadium and treated the competition - and visitors Blackpool - with respect as he named a team containing seasoned internationals such as Cech, Lichsteiner, Aaron Ramsey and Danny Welbeck among his starting XI.
Youngsters like Smith Rowe and young Spanish defender Julio Pleguezuelo, making his Arsenal debut at centre-back, blended youth with experience as Emery was rewarded with a solid if unspectacular victory.
Match ends, Arsenal 2, Blackpool 1.
Second Half ends, Arsenal 2, Blackpool 1.
Attempt blocked. Henrikh Mkhitaryan (Arsenal) left footed shot from outside the box is blocked.
Attempt missed. John O'Sullivan (Blackpool) header from the right side of the six yard box is close, but misses to the right.
Substitution, Blackpool. John O'Sullivan replaces Callum Guy.
Paudie O'Connor (Blackpool) is shown the red card.
Pierre-Emerick Aubameyang (Arsenal) wins a free kick in the attacking half.
Foul by Paudie O'Connor (Blackpool).
Foul by Carl Jenkinson (Arsenal).
Jordan Thompson (Blackpool) wins a free kick on the left wing.
Lucas Torreira (Arsenal) wins a free kick in the attacking half.
Foul by Callum Guy (Blackpool).
Foul by Henrikh Mkhitaryan (Arsenal).
Oliver Turton (Blackpool) wins a free kick in the defensive half.
Substitution, Blackpool. Mark Cullen replaces Liam Feeney.
Corner, Arsenal. Conceded by Marc Bola.
Substitution, Arsenal. Pierre-Emerick Aubameyang replaces Danny Welbeck.
Attempt missed. Jordan Thompson (Blackpool) left footed shot from outside the box misses to the right from a direct free kick.
Hand ball by Lucas Torreira (Arsenal).
Substitution, Arsenal. Alex Iwobi replaces Emile Smith-Rowe.
Stephan Lichtsteiner (Arsenal) wins a free kick in the defensive half.
Foul by Liam Feeney (Blackpool).
Goal! Arsenal 2, Blackpool 1. Paudie O'Connor (Blackpool) header from very close range to the bottom right corner. Assisted by Jordan Thompson with a cross following a corner.
Corner, Blackpool. Conceded by Petr Cech.
Substitution, Blackpool. Harry Pritchard replaces Michael Nottingham.
Attempt missed. Henrikh Mkhitaryan (Arsenal) left footed shot from the left side of the box is close, but misses to the left.
Attempt blocked. Danny Welbeck (Arsenal) right footed shot from the left side of the box is blocked.
Substitution, Arsenal. Lucas Torreira replaces Ainsley Maitland-Niles.
Attempt missed. Callum Guy (Blackpool) right footed shot from outside the box is just a bit too high.
Corner, Blackpool. Conceded by Julio Pleguezuelo.
Second yellow card to Matteo Guendouzi (Arsenal) for a bad foul.
Foul by Matteo Guendouzi (Arsenal).
Jordan Thompson (Blackpool) wins a free kick in the defensive half.
Attempt missed. Shkodran Mustafi (Arsenal) header from the centre of the box is close, but misses to the left following a corner.
Corner, Arsenal. Conceded by Marc Bola.
Matteo Guendouzi (Arsenal) wins a free kick in the defensive half.
Foul by Jordan Thompson (Blackpool).
Paudie O'Connor (Blackpool) hits the bar with a header from the centre of the box following a corner.
Corner, Blackpool. Conceded by Stephan Lichtsteiner.
Foul by Henrikh Mkhitaryan (Arsenal).