City struggled in the first half but upped the tempo after the introduction of Mario Balotelli at half-time.
When asked what he had said to his players at the break, Mancini mumbled a possible joke about shooting "against three or four players".
Mancini was however clear when asked about the performance of Tevez, who scored his first goal since September 1.
Mancini said: "He played well but Carlos also played well against West Bromwich.
"He worked hard for the team. It is an important goal and I am happy for him."