The map was recently removed after users discovered Islamic text on a bathroom painting, a practice which is frowned upon by the religion.
A small patch has been released on the PS3, reinstating the map without the offensive text.
Similar fixes for the Xbox 360 and PC are expected to follow, reports MP1st.
Apologising for the oversight, Activision said it was working "as quickly as possible" to remove the offensive image and any similar ones found in other games.
Modern Warfare 2 released for the Xbox 360, PS3 and PC in 2009.
The game enjoyed one of the UK's biggest-selling video game launches, topping the all-format chart for Christmas, 2009.
> Read Digital Spy's 'Modern Warfare 2' review
Watch a trailer for Modern Warfare 2 below: