Barry is a free agent this summer and is set to play his last game for the Toffees today away at Hull, however his future may not be as obvious as some think.
Everton are due to pay City a fee if they sign the England midfielder permanently this summer, something that was written into their loan deal at the start of the season.
Martinez is desperate to keep Barry but knows that sort of money is not something Everton come easily by and the likes of Tottenham, Liverpool and Arsenal are keen on the holding midfield man.
“After the Hull game we will sit down and see how Gareth feels. It’s clear that we want him here for the long, long term and every supporter will tell you that,” Martinez said.
“We respect Gareth and he is at a perfect age to make good decisions not based just on finances. I just hope we can carry on working with Gareth for a long time.
“I don’t think you can replace Gareth because there are not many footballers with more than 500 games in the Premier League.
“He’s a unique talent and I always said that it’s very rare to find a No.6 like that in the English game.”