Tevez completed his move to Serie A rivals Juventus on Thursday morning but had been linked to the Milan club.
Galliani insists he was not disappointed to miss out on Tevez, telling reporters he has complete faith in his current squad.
Galliani said: "Tevez to Juventus? This will not remove my smile.
"We have five strikers in the team and they are more than enough qualitatively and quantitatively.
"Since our strikers haven't left, we could not go forward in the negotiations for Tevez."
Milan have also been linked with CSKA Moscow's Keisuke Honda but Galliani says the same rules apply and that players must leave.
He added: "He could be a target for us but there is no pre-agreement.
"Again, if no striker was to leave, we cannot take anyone."