A bizarre Antonio Rudiger own goal and Granit Xhaka's poacher's finish sent the Gunners to Wembley, as Chelsea were unable to build upon a fantastic start afforded to them by Eden Hazard's seventh-minute opener.
The Blues' transfer strategy has attracted numerous glances in January, with Andy Carroll, Peter Crouch and Ashley Barnes making up a somewhat bizarre list of reported targets.
"When the squad is not big you have to always play with the same players," he told a news conference.
"I made a lot of rotations this season. We reached the semi-final and if you see before who played in this competition, we played with young players. I have to do the same in the FA Cup, but then you risk going out. Against Norwich we risked this.
"But it is not right to take only one game to make a decision to understand. There is a programme and a plan.
"It's wrong we have to make decisions only on one game. The situation has always been the same since the summer. I continue to work and I'm very happy with my players.
"I continue to give everything for the club and the club makes the best decisions for the team."
The Blues are currently third in the Premier League table and face an FA Cup fourth round clash against Newcastle on Sunday.