She is speaking following calls and a petition for him to be removed from the BBC's Sports Personality of the Year competition over allegations of homophobia and sexism.
Tyson Fury, who defeated Wladimir Klitschko to become a world heavyweight champion last month, has been accused of comparing homosexuality with paedophilia.
More than 130,000 people have signed a petition demanding he be removed from the 12-strong shortlist for Spoty, the winner of which is due to be announced in a live programme on Sunday.
The heavyweight champion has denied this, saying he understand two consenting adults having sex is not as bad as paedophilia.
Asked what she would say to Fury if he won the public vote, Ms Crouch told the BBC Radio 4 Today programme: "I would remind him that everybody who is involved in sport, whether it is the person who runs the line at a grassroots football match at the weekend right up to the professionals and the elite sportsmen, they are role models for young people in this country and they should always remember that."
Mr Fury has told Sky: "I wouldn't be a very good Christian if I hated anybody. If Jesus loves the world, I love the world.
"I can actually say I haven't got any hate for anybody. I have no enemies. I don't hate any race, colour, creed, generation, nobody.
"I'm not a homophobe. I'm not a sexist. I'm not a bigot. I'm not a racist. I'm a gypsy. I've [suffered racism] towards me for the last 27 years and you don't hear me complaining about it. I don't have anything to hide."
He also told a gay man who confronted him in a bar about his alleged views that he was not homphobic, before kissing him.
Earlier in the month Mr Fury was cleared of a hate crime allegation by police.
