The Serbia international was a victim of the Parisians' summer recruitment programme which has seen the likes of Brazil star Thiago Silva arrive from AC Milan with less heralded names, such as Bisevac, sacrificed.
The 28-year-old has welcomed his move to the Stade Gerland, however, and defended his decision to join PSG from Valenciennes 12 months ago.
"I have no regrets," he said, in remarks reported by France Football. "Everything is positive.
"I gave everything for PSG and their fans. I never cheated them. I can walk past anyone and look them in the eye."
Bisevac was equally positive when it came to joining Lyon.
"I am happy to be here. I arrive with great desire and will give everything for the club," he said.
Bisevac impressed on his debut against Evian on Friday - the match finishing in a 1-1 draw - and is looking to maintain that form over the coming months.
He added: "(Qualifying for) the Champions League is our goal but it will not be easy this year as there is lots of competition. It will be even tighter than last season but Lyon are capable of doing it."
