"We have interest in him. We're going to talk to his agent when we have the opportunity," Minaya said Tuesday, the second day of the winter meetings.
Minaya said that he has not yet scheduled a formal meeting with Fernando Cuza, Martinez's agent, or Martinez.
Martinez, however, said he isn't ready to start thinking about where he wants to play next season.
"I've said it previously and I have said to my agents that they do not speak to me of contracts until January," Martinez said Tuesday.
Martinez, 37, also likely won't decide whether to pitch for the Dominican Republic in next year's World Baseball Classic until he reaches a contract agreement with a major league team.
The three-time Cy Young winner endured the worst season of his 16-year career in 2008. Martinez went 5-6 and 5.61 ERA in 20 outings and was affected by various injuries and personal problems.
Enrique Rojas is a reporter and columnist for ESPNdeportes.com and ESPN.com. Information from The Associated Press was used in this report.