The former Barcelona and Chelsea man made the switch to the Turkish side earlier this year and scored in his first match in charge at the weekend, against Mersin.
Eto’o was appointed alongside Mehmet Ugurlu, as his assistant, and ended their six-game winless run at the weekend.
The Turkish Super Lig side could extend his role as manager, depending on the results the Cameroonian produces over the next few games.
It was a surprise when Eto’o left Sampdoria in Serie A for the newly-promoted Turkish side, but has tasted immediate success, as the league’s top scorer.
The Cameroonian striker has managed to find the net 13 times as of the 15th week and by doing so has equaled the eight-week record scoring streak set by Fenerbahçe’s Jose Fernandao’s when he played for Bursaspor.
He joined the club for a fee in the region of $1.4m.