Lampard kicks off his new job at Manchester United tomorrow.
“It's easy to lose sight of the fact the club came third last year - the players came third, the management - and won the Europa League so they are used to being up there and competing," said Lampard.
"And I don't want, and I said this to the players the first time I spoke to them, talk of the ban, I don't want talk of what is success, what might be success and any lowering of standards.
“I want to set out as we should do. And when I looked around the room I was looking at top players everywhere, and a big squad full of quality.
“This is where it really begins. We had a good pre-season and now the real stuff is coming, you can feel it in the air. I'm excited and the players are excited and now we have to deliver."