The Nigerian striker is pleased to have made a scoring return to action after missing the first half of the season while Sylvain Distin hopes the Toffees' unbeaten run can continue
The 23-year-old netted the only goal of the game after coming on as a substitute in the second half for David Moyes' men, who leapfrogged their opponents with the win and now sit ninth in the table.
Anichebe, who had been sidelined since September after sustaining a groin injury on international duty with Nigeria, told Sky Sports: "I've been waiting patiently since the start of the season, I had a good pre-season but unfortunately I went away with Nigeria and got injured.
"He [manager David Moyes] said, 'Go on, you've worked hard to get back here, just go on and help the team', which is what I did."
Meanwhile, Toffees defender Sylvain Distin added that he hopes the club can continue their unbeaten run of four matches in the Premier League ahead of Wednesday's clash with Bolton Wanderers.
The Frenchman said: "It's a good run, we have to carry on. We have to turn the draws into victories and that would be even better.
"It's not only the defence, it's the team. If you only expect the back four to defend you are never going to succeed and keep a clean sheet, you start from the front and everybody worked hard today and at the end we've got three points and a clean sheet, which is perfect."