The Hoops crashed out in the last-32 stage on Thursday night after a 3-1 home defeat by Copenhagen resulted in a 4-2 aggregate scoreline.
It was a frustrating night for the Celtic boss who is looking for his side to make amends in the Scottish Cup quarter-final at McDiarmid Park.
Lennon said: "I hope I get a reaction from my players. I hope they are angry and if they play angry they can be very good.
"We will get their minds refocused on trying to retain the cup."
Lennon left Celtic Park wondering how his side, who should have finished off the tie in Denmark last week, failed to do the business in Glasgow.
Copenhagen took the lead in the 51st minute through substitute Michael Santos when he took advantage of a slack backpass by Jozo Simunovic.
Odsonne Edouard levelled with a VAR-awarded penalty in the 82nd minute and it looked like the match had swung back towards the home side.
However, three minutes later, Pep Biel restored Copenhagen's lead before Dame N'Doye added a third to seal a miserable night for Celtic.
Lennon said: "Any game would be a pick up after last night. It's bitterly disappointing we threw it away in the last five minutes.
"To score and then lose a goal two minutes later was inexcusable.
"I just look at the next game - we will see who is available and ready to play and we will try to win."