Toure was named assistant coach at Akhmat earlier this summer.
Agent Dimitri Selyuk told Sport-Express: "Yaya likes everything about Akhmat. He is involved in the club, everything is going well. But now the preparatory process is underway, there is a lot of strength and physical work, so not all of Toure's qualities have been used so far.
"Yaya's activities will expand from the start of the championship. Now even some individual classes are difficult to conduct, because the players have high loads. We know that (coach Andrei) Talalaev drives players to the fullest in the preseason. The relationship within the coaching staff is excellent, so everything is going well.
"The footballers also treat him with respect, this is the person who has won all the trophies, except for the World Cup."