With Slimani struggling for regular minutes on the pitch, it was widely expected that the Algerian international would be leaving the Foxes during the January transfer window.
But Puel has stated that he would like to keep hold of the attacker.
Puel said: "This period is always difficult with speculation about different players. I am happy with Slim. He played well in the second half against Huddersfield and he needed to build on this with another opportunity (at Fleetwood).
"I think in this transfer window we need to have a look at the balance of the squad. For example, we have a lot of strikers and offensive players. We need to have better balance to give them more game time."