The 33-year-old was dropped from the first-team by manager Andre Villa-Boas, but was pleased to show his quality on Sunday night.
The England midfielder said to Sky Sports: "I have been around a long time now and it is never plain sailing and you just have to stay strong and let your football do the talking.
"If you do that and keep working hard then things come to you, and I think today things came to me."
He added: "It is always satisfying. I am just pleased to be playing and pleased to be contributing."
"The team has played very well this season most of the time and I just want to contribute when I am playing.
"It is great to play with good players. Stubbs [Daniel Sturridge] puts the first one on a plate for me.
"I feel like I've got a lot left in me and I just want to be part of a successful team and have a good season.
"I don't think we could have asked for any more. That first half performance was as good as we have played for a long time, the passing and movement and the goals that came", Lampard concluded.