Previous England midfielder Cole, 32, has joined Villa on a two- 12 months agreement following getting introduced by West Ham at the finish of past year.
Lambert explained to his clubs formal website : "Joe's not in it for the cash, he only needs to engage in and establish that he's still a prime specialist in the Barclays Premier League, which he's usually been.
"He'll prosper on the obligation here. He's an individual who has constantly stepped up to the plate. That's inherent in his character and he's the type of character we require.
" I'm delighted we've been able to convey him in to be part of the group. He'll enhance the group and he'll provide out a whole lot from players all around him due to the fact he'll need that.
" He is a humble lad in spite of everything he is attained in the match and he is hungry as nicely. Income was never ever a aspect in him coming in this article. He simply wishes to attain and consider to win issues, that is what drives him.
"For us, he is got a whole lot to provide - he is an clever footballer and his mind-set is initial - course.
"When we sat down and talked I was extremely amazed by him. He's a male who has played at the prime for quite a few many years, been capped fifty six periods for England which is extraordinary but he nevertheless has an terrible whole lot to offer you and he would like to prove himself however.
"This is a really excellent signing for us. If the fire wasn't however burning in him, which is the phrase he's utilised himself, he would have absent overseas and been content material with what he is attained.
"But that's not him. Players will find out from Joe Cole, as they will from Philippe Senderos who joined us previous week. I'm seeking ahead to equally of them currently being aspect of the team and the other players will be energized by them signing up for, far too."