The striker, who has been linked with a transfer to Arsenal, has scored 39 goals in 47 matches in Portugal.
Arsene Wenger is lining up a move for the 27-year-old, according to The Metro, with Martinez reportedly intent on joining the Gunners.
"I think there will be a chance of a move in the summer," the Colombian forward is quoted as saying. "I'm happy at Porto, but it would be nice to play for another big club. I like the English league – this is well known of course."
Porto will reportedly demand £30m for the striker, who joined the club in 2012 from Chiapas in Mexico.