Diego Simeone's men are now set to continue this season's European adventure in the lower-ranked Europa League.
“When you are on the pitch you only think about the team and people watching,” Partey told Marca.
“I worried a lot because it was not good to be knocked out and I always want to compete but when you cannot, then there is no point still talking about it.
“We have other things to look forward to this year and next season I am sure we will be in the fight for the Champions League.”
Despite Atletico's disappointing showing Partey had a good run on personal level.
The Ghanaian started five of the six group games, coming on as a substitute in the last.
He scored the equaliser in the 1-1 home draw with Azerbaijani side Qarabag last October.