Relegation-threatened Livorno have sacked Domenico Di Carlo after just 88 days in charge and re-appointed Davide Nicola.
Virgil van Dijk claims he knows nothing of interest from English clubs and is keen to prove himself in the Champions League with Celtic.
Reports emerged in Brazil claiming Dante had already agreed to join United, with the player then going on radio to clarify the situation, effectively stating nothing would be decided until January 31.
However, Marcus Marin, the 30-year-old's German-based agent, insists the only discussions that have been taking place are with Bayern Munich over an extension to a contract not due to expire until 2016.
"There is no way that is going to happen," he said. "He is not going to leave Bayern in the window.
"At the moment, Bayern are the only people we have spoken to anyway because we are talking over a new contract.
"We are still waiting for an answer from them and, although things happen very quickly in football, until that situation changes, we cannot speak to anyone else anyway."
Moyes has not spoken about Dante, although, given the player is capable of operating in central defence, at left-back or in midfield, the attraction would be obvious.
"Manchester United followed him two years ago," Marin said. "We were in talks with them, but then he ended up at Bayern.
"They are a very good club - and a very big club - so it would be interesting if they were interested in Dante, although I stress we have not spoken to anyone."