Martinez has come under pressure in recent weeks due to the Toffees’ disappointing results in the Premier League.
Former Everton midfielder Hutchison seems to believe that the Spaniard is the right man for the job.
Martinez has been in charge of Everton since the summer of 2013, but the team have not progressed much under him.
The Merseyside outfit finished fifth in the Premier League table during the 2013-14 campaign, but last season they ended up as low as 11th.
The Toffees are in the bottom half of the standings at the moment, and they may not even end up in the top 10.
Everton have a very good squad with a number of brilliant players, and the general perception is that the team are underperforming.
It would be easy to sack Martinez, but who would Everton then appoint as his replacement?