The Portuguese also hinted that Didier Drogba would start at the weekend and said he expects Bolton boss Owen Coyle to turn the club’s fortune around after a poor start
Lampard scored the opener in Chelsea’s 1-1 draw against Valencia on Wednesday after a difficult start to the season which saw him dropped by both his club and county.
And after the match he stated his ambition to play more regularly for the Blues, but his manager has come out and said the midfielder will have to fight for a place alongside the rest of the players in the squad.
"The situation with every player in the world is that everybody wants to play and everybody wants to feel part of a team,” he told reporters.
"But in squads of 25, 26 players, there are always the people who want to go back into the team.
"It's the most normal thing and all of them expect to play.
"This is part of the day-to-day life on management.
"Frank, like other players, is fighting for his place and he's been involved in almost every game."
Chelsea travel to Bolton on Sunday, but are without striker Fernando Torres after he was sent off against Swansea last weekend.
However, Villas-Boas has Didier Drogba fully fit once again and dropped a strong hint that the Ivorian would take Torres’ place at the head of a front three.
"In terms of fitness, he is ready," he said.
"He's on top form, so he's available for selection. We just have to decide what we want strategically for the game."
And as for Daniel Sturridge who has been out for a week with a knee injury, the Chelsea manager added: "He'll be up for selection. He's, of course, a player we trust."
Bolton’s manager Owen Coyle is a man Villas-Boas knows well after taking his coaching qualifications with him in Scotland.
Coyle has had a difficult start to the season with his side bottom of the Premier League table and with the worst defensive record.
However, the Scot praised Villas-Boas on Friday and the 33-year-old reciprocated the gesture, saying Coyle would soon turn the Trotters’ season around.
“Owen, when he arrived at Bolton, did a fantastic job to take them straight out of the relegation places,” said the Chelsea manager.
“He is a person that took his coaching pro licence with me so I know and I get along with him pretty well.
“We have spoken a lot at this beginning of my career in England, and also when I was at Porto, and I respect him a lot as a manager and as person.
“His teams are well organised and bad phases during the Premiers League can happen to anybody. I think due to his competence he will come out of it.”
This week has been dominated by the Carlos Tevez saga, with the Argentine striker allegedly refusing to go on to the field off the substitute's bench against Bayern Munich on Tuesday.
Many Premier League managers have been giving their thoughts on the striker in their press conferences, but Villas-Boas refused to get involved, saying the matter was nothing to do with him.
"When it's not my business and I'm not in full control of the information, I cannot emit an opinion because that opinion might be false.
"It's nothing to do with me. It's up to Man City to deal with the situation.
"Everybody has to deal with their own problems."
"If that happens [at Chelsea], we will have to look at the situation and we will have to set up a pattern of coherence in the actions that we do."