Anelka converted a super-cool penalty to double Chelsea's lead, one week after he did the same to score against Newcastle in a Carling Cup tie.
"I don't tell Anelka how to shoot a penalty. If he scores I'm happy," Ancelotti said after the home victory.
"I've never seen Anelka scared or nervous. He's always quiet and calm. He's a good character."
Control
Following his side's second straight win, Ancelotti seems confident of making the knockouts, ahead of a double-header with joint-leaders Spartak Moscow.
"I think we're in control of our qualification. This victory was a good step," said the Blues manager.
"We have four more matches to play and the next two against Spartak Moscow will be important.
"There is a good possibility that we'll finish in first place."
Cool Anelka