Contrary to what you seem to believe, Vincent Tan is not 'the club'. He just owns it. For now.
As I recall, the Chairman seemed enthusiastic about the prospect of Lamouchi staying. When asked recently if the manager would be staying, he said: "I think so. I have no reason to believe he has different thoughts than us."
The problem for Dalman is that, once again, it seems 'us' didn't include Tan. The Chairman and the owner rarely seem to be on the same page these days, which should be a concern to any City fan.