Lampard expressed his pride at becoming England's highest scoring midfielder after the demolition in Friday night's World Cup qualifier in Serravalle.
He said: "It feels very good to be England's highest midfield goalscorer. I'm very proud of that achievement.
"All my career, I've looked to score goals. It was great to be up there with the likes of the Bryan Robsons and the David Platts.
"Now I am above them and it was also an honour as always to wear the armband for your country.
"Stevie will be back on Tuesday (in Montenegro) so he will take it, but I am really pleased with how I played."