"I have decided to file the claim in the CAS tomorrow," The Straits Times quoted Mutko as saying.
Mutko's announcement comes after he was banned for life from the Olympics this month by the International Olympic Committee (IOC) over allegations that Russia created a "state-sponsored doping program."
However, Mutko said that he will continue his duties in the government as well as preparing the World Cup which is being staged in Russia this summer.
"Regarding the issues of relationship with Fifa and the organising committee, as long as the president (Vladimir Putin) trusts me, I continue to work as deputy premier and oversee the preparations for the world championships," he said.
The deputy prime minister had been banned from the Rio 2016 Games. This month he was banned for life from all Olympic Games after the International Olympic Committee said he was involved in a state-backed doping programme.(ANI)