Roman Pavlyuchenko was linked with a move to Chelsea earlier this month, while there has also been talk about the future of Darren Bent.
The rumours stemmed from quotes attributed to Pavlyuchenko's agent but Redknapp insists both strikers figure in his plans.
"That was a statement that apparently came from Pavlyuchenko's agent," the Spurs boss said on Sky Sports News.
"I don't even know who he is. I have never met him or heard of him.
"He came out and said maybe we will sell Darren Bent. I don't even know where he would get that type of information from and it's certainly false.
"If he has said that he has got no right to say it."
HappyRobbie Keane has been made Tottenham captain following his return to the club from Liverpool, while Redknapp also brought Jermain Defoe back to White Hart Lane in the winter transfer window.
Defoe is likely to play regularly once he is fully recovered from a foot problem but Redknapp insists it is important to have a number of options up front.
Asked if he was happy with his strikers, Redknapp replied: "Of course. I am pleased that Jermain is coming back now and Robbie has been fantastic since we brought him back.
"Pavlyuchenko showed what he could do last week when he came on (scoring the winner against West Ham) and Darren Bent has been in terrific form lately for me so I've got no problems with the players."
Asked if he had plans to get rid of any of them, Redknapp continued: "Not really, no.
"It is not something that is on my mind and I feel we need four good strikers."
GomesRedknapp also dismissed stories connecting goalkeeper Heurelho Gomes with a move to Chelsea.
Petr Cech has been unconvincing at times in recent weeks and, according to some reports, Gomes is a transfer option for Chelsea as he is well liked by current Blues boss and former PSV Eindhoven chief Guus Hiddink.
But Redknapp said: "I don't know what papers you read but where they have got that from I haven't a clue.
"Last week they wanted Pavlyuchenko, this week they want Gomes, next week maybe somebody else."