Scotland international Maloney has been an influential figure for Wigan in recent weeks and signed a new two-and-a-half year contract in January.
Reports have suggested that he could be the subject of interest at the end of the season if Wigan are relegated from the Premier League, but Maloney is happy at the club.
"I signed a new deal in January and I'm enjoying my football," said Maloney in the Daily Record. "I hope that continues."
The 30-year-old is also keen for Martinez to remain at the Wigan helm after the Spaniard emerged as a contender to replace David Moyes at Everton.
Maloney added: "I hope he's here next year but if there is a bigger club in terms of fan-base and structure, I'd hold no grudges about him taking the job."
The former Celtic winger has also praised Martinez for helping him to make an impact in the Premier League after a difficult spell at Aston Villa earlier in his career.
"I feel more comfortable and try to play as though I belong with this calibre of player," continued Maloney.
"My manager now has to take a lot of credit. When I left Celtic for a second time it was a major gamble for him to sign me, given the number of games I'd missed through injury. But I've proved something to myself rather than anyone else.
"The manager has been great. He's the first foreign boss I've worked under and it's a different style. In my first season under Gordon Strachan at Celtic I learned a hell of a lot and over the last two campaigns I've learned more."