The Tigers withdrew an offer for the Australia star last month after the Roosters took a contract offer for the 22-year-old off the table.
Mitchell.did not rule out remaining in Sydney with the premiers but has reportedly been told by the Roosters he will be unable to stay on due to salary-cap restrictions.
Wests chairman Lee Hagipantelis revealed Roosters counterpart Nick Politis has been in touch to notify him of Mitchell's availability.
"We are actively in the market considering a number of options that are available to us and if Latrell is to be one of those options he is more than welcome to reach out to us," Hagipantelis said.
"At the moment I don't think we are under any particular pressure, we have got a really talented and healthy roster, but it is an active player market at the moment and we want to make sure we are a competitor in that market."
He added, quoted on nrl.com: "Nick has been incredibly transparent throughout this process. He has called me chairman to chairman as a professional courtesy, which I am very appreciative of, and kept us informed.
"Nick has not involved himself in any sort of discussions or negotiations or anything of that kind. It was simply as a professional courtesy to inform me of what the Roosters' position was."