The Latics trio will all see their current deals expire at the end of the season, but the Spaniard insists talks are on hold until the club's Premier League status is secured
The Latics trio will be able to leave the DW Stadium for free at the end of the season if they do not agree extensions to their current contracts.
However, Martinez insists that retaining the club's top-flight status should be the players' sole priority at the moment.
“We need to stay in the Premier League to be successful,” the Spaniard told The Mirror. “Once we do that we can go into the individuals. Their contracts count for very little right now.
“It is pointless going into talks when the future is at stake and we are fighting for that. The club is more important - and individuals won’t make any decisions either over the next 12 games.”
The 39-year-old expressed delight, however, that all three players have not been distracted by their uncertain futures.
He continued: “You have seen players who were out of contract who lost their places. That wasn’t about their contracts, it was their about their levels on the pitch.”
Martinez also discussed the club's failure to capture January transfer window targets Aiden McGeady and John Stones.
Of McGeady, he said: “It just wasn’t meant to happen. For one reason or another the deal broke down.
“I admire Aiden McGeady, he is a very talented footballer, he has got a big future. When you like a player you always like a player.”
And on defender Stones, who eventually joined Everton, he added: “One of the big signings we were trying was for the future. I don’t think that signing would have affected our results to the end of the season.”