"I don't think it's going to affect the team," said Torre. "They've got a job to do. I'm not saying they don't care, but there's a separation between ownership and the players on the field."
"Why would I want to leave?" Colletti said.
Colletti has been in discussions on a new contract and sources indicate a deal could be announced soon.
The club issued a statement Wednesday night confirming the couple's separation, calling it a "personal matter" and asking that their privacy be respected. The statement did not address the ballclub or its future operation.
"I still continue to have the same relationship with both," said Torre. "I'm not really affected because of my job I was hired to do. I certainly feel bad about people who have to go through this. It's what happens in life. Baseball doesn't have anything to do with it. A lot of couples go through this."
"No question [the McCourt situation] will take on a life of its own," said Torre. "Whatever the results of the games, I don't think the release of that information has anything to do with it."
Torre, 69, has one year remaining on his contract and has said repeatedly it will be his last.
Ken Gurnick is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.