Arsenal overcame the disappointment of Sunday's draw with Crystal Palace by making it 12 wins in their last 13 matches.
Emile Smith Rowe made it 2-0 in the 50th minute as he bundled home Carl Jenkinson's cross.
While Guendouzi's sending off will see him miss Saturday's clash with Liverpool, Emery is not anxious.
He then followed Guendouzi in earning a dismissal late on for a cynical foul on Pierre-Emerick Aubameyang. He is playing with the spirit I want today and every match. "My grandmother taught me that you must never look down on people unless you are helping them up, and I believe this project really goes to the heart of that sentiment", she said. "A red card is like that".
Blackpool boss Terry McPhillips bemoaned a red card to Paudie O'Connor as his side pushed 10-man Arsenal all the way before losing their Carabao Cup clash at the Emirates Stadium.
Arsenal looked to be cruising but our task got a lot more hard when Guendouzi was sent off for a second needless booking in the 55th minute so we were down to 10-men for the majority of the second period.
And he has confirmed that Petr Cech will start in goal, ahead of Bernd Leno.
"Overall I think it is important that the club can always continue at a very good level".
The suspension means Guendouzi will miss Saturday's crucial Premier League game against Liverpool, but Emery said he is confident in his other options. The action is.it's an action, he plays that action as a normal moment in the game.
"As a manager, you always have an influence on individual players, the style of play and results - but also the structure of the club".