The 21-year-old Hale End academy product made his senior debut for the Gunners against Dundalk in the 2020 Europa League group stage.
Under-21 boss Mehmet Ali said last season that Cottrell needs to be playing senior football following a difficult spell with injuries.
“Ben needs to go out and play men’s football,” Ali said.
“Having said that he’s had a really tough two seasons – the last two seasons have been very difficult.
“I feel that as a group of staff, we’ve really supported him. But credit to Ben to get his head down, support the younger players, and put in some of the performances that he’s put on.
“Hopefully he’s done enough to showcase him to go and get an opportunity to play men’s football, which is what he needs.”
Cottrell has already signed a contract with Mura and will be presented in the coming days.
