Osvaldo was jettisoned after his training ground bust-up with Fonte.
"There have been a couple of text messages, apologising and stuff, but some things take time to heal," the popular Portuguese centre-back said.
"The spirit has always been fantastic. We have known each other for a long time and one of our best assets is the team spirit.
"Yeah, he left, obviously he left for a reason, and it was for the best for the team and the club. We move on, I've moved on and he has surely moved on as well, so everything is all right."
Asked if he had any input in Osvaldo's exit, Fonte said: "Me? No. What can I say?
"The boss is Mauricio Pochettino and he knows what happened and decided that it would be best for group for him to move on."