Zaid Alsalami, Shaykh Dr Zaid Alsalami is an Iraqi born scholar, raised in Australia. He obtained a BA from Al-Mustafa University, Qom, and an MA from the Islamic College in London. He also obtained a PhD from... Answered 5 months ago

Bismihi ta'ala

It would all depend on what type of music it is, playing in the background of the game. 

I'm sure you know that there is halal music, and there is haram music. Should the music be music that is commonly used for haram gatherings, or have explicit language, the you can play the game, but mute the sound. 

Ultimately, you are the one who decides whether it is appropriate to listen to, or not, and your judgment should be based on your correct understanding of halal/haram music.

And Allah knows best.