Unai Emery's men were stunningly eliminated in the last 16 after suffering a 6-1 loss in the second leg against Barca, having carried a 4-0 lead to Camp Nou.
But Silva said PSG had already put that defeat behind them as they prepare for a Group B meeting with Celtic on Tuesday.
"We already forgot about Barcelona. It's now another Champions League, something different," the Brazil defender said.
"We are ready to start it well. We all know that this competition is special. We are highly motivated to start it well.
"We want to try to play well [against Celtic] and to have control of the game. We want to get the three points but we are respecting them a lot.
"They are used to playing in the Champions League."
Silva talked up the experience of Neymar and full-back Dani Alves, who have both won the Champions League.
"Neymar and Dani will bring a lot of positivity and experience," he said.
"They already won the Champions League, with [Angel] Di Maria. Other players won important trophies as well like [Julian] Draxler and [Kevin] Trapp also.
"We are highly motivated. We want to start already. The preparation was great. The motivation is here in order to try to go as far as possible."