Goals from Raphael Varane and Antoine Griezmann sent Didier Deschamps' side into the last four with a 2-0 win at Nizhny Novgorod Stadium.
"I don't know any examples where the coach decides who will be the coach in the future," he told a news conference. "I have a contract, but I won't speak about this. It's not up to me to decide.
"I've never liked to comment on this and I won't do it today. If I did, I'd be going against my principles. This phase is over, the same happened after the World Cup in Brazil and it was decided later if I would continue."
France benefitted from a dreadful error committed by goalkeeper Fernando Muslera, who parried Griezmann's second-half strike into his own net to put the match beyond Uruguay.
Tabarez, though, refused to blame his players for what he accepted was a fair result.
"I won't tell you what I discussed with my players," he said. "It wasn't a normal goal but Muslera has been a very important pillar of our process. I won't wash my hands and put the responsibility on the players.
"We didn't play as well as the opposition, and that's why we lost. When I say 'we', I really mean the whole team. It's not just the team on the pitch's responsibility. We've always believed that.
"We made a huge physical effort in the first 20 minutes, but we couldn't exploit France's problems after that. Then they scored and that's a detail that has a huge impact on a match like a quarter-final.
"The boys gave everything, but France controlled the match very well. After the second goal, there was a big gap between the teams. We couldn't control their strengths and they were better than we were, I admit that."