After going down 4-0 at home, the tie was effectively over, but Leverkusen played for pride and nearly came away with a draw at the Parc des Princes, missing a penalty in a 2-1 defeat.
"This was a good performance from us today," said Hyypia. "We showed character and a good mentality. We can take a lot of self-confidence out of this defeat.
"I'm very proud of the way my lads played. If we do our homework, then we will be playing in Europe next year too.
"Maybe we can benefit from this on Saturday."
Leverkusen travel to Bayern Munich at the weekend, bidding to end the Bavarians' 49-game unbeaten run in the Bundesliga, a run which started after their 2-1 loss to Leverkusen at the Allianz Arena in October 2012.
"It was important that we tanked up on self-confidence for our coming Bundesliga matches," director of sport Rudi Voller told Sky. "That's what mattered most in this game.
"It was already a big success for us to get through the group stage because in Europe, there are four, five or six clubs who will always make it hard for Leverkusen to get any further."