The Nigerian got on the scoresheet as he played his first match since October 21, nullifying Carlton Cole’s first-half strike before Steven Pienaar went on to net the winner.
"I was really pleased with the goal but even more so to stay on for the whole game," the forward told the club's official website.
|9/4||Victor Anichebe is 9/4 with William Hill to score in an Everton win over Wigan
"The goal meant a lot to me. The physios, the staff, the team, everyone has helped me go through being injured again.
"I've never really had a hamstring injury before but they have shown me support and I was just happy to be back and to help the team. Sometimes I do celebrate and sometimes I don't but inside I am always extremely happy. It's always a blessing to score, even just to step onto the pitch."
Anichebe now aims to play a key part in the Toffees' festive fixtures, with the absences of the likes of Marouane Fellaini and Kevin Mirallas set to test the club's thin squad to the limit.
"At Everton you are always going to get chances," he observed. "You always know that the manager is always going to need his players.
"At the moment Felli and Kevin are out but we have got other players who can come in and help the team, like we showed [on Saturday]. Hopefully we can keep progressing through this Christmas period and keep the momentum going."