Martinez has been at Arsenal for over nine years now, but his chances at the Emirates Stadium have been limited.
Martinez says that Arsene Wenger had planned to make him number one before his departure from the Emirates Stadium.
However, Unai Emery has only made him a back-up choice following the arrival of Bernd Leno.
And Martinez claims that he will only stay at Arsenal while he can see a clear path to their first team.
“He [Wenger] always trusted me," the goalkeeper said.
"Beyond his departure, people stayed in the club that already knew me. When I renewed with Wenger, he told me that I was going to be the number one at Arsenal.
"Unai Emery, the current coach, wanted to see me and was very surprised with me. In fact, I stayed because I knew I had real chances; otherwise, I would have gone to play somewhere else.
"London is very nice, I'm comfortable, but I'm not staying in comfort. And if I had to go somewhere else to play, I would do it.”
Martinez has only made 17 appearances for Arsenal in total, with most his senior experience coming out on loan.
The 27-year-old has been used in the cups for Arsenal this term, and his performances have been impressive.
Emery has stuck by Leno to date, but Martinez is providing strong competition for his Arsenal counterpart.
Whether the 6ft 5inch stopper will be able to displace Leno before the end of the season remains to be seen though.
And if Emery doesn’t offer Martinez more game time it appears that a move away could be possible next season.
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