Fury reneged on his retirement on Tuesday, saying he wants to take on the winner of AJ vs Usyk for the right price.
And Parker, who has trained extensively with Fury and seen his skills first hand, says the Gypsy King would make light work of both.
He told Sky Sports: ‘Those are both great fighters, Joshua and Usyk, I just see Tyson being too much for them.
‘Everyone’s going to say I’m biased because I train with Tyson and we’re very close. If I step back as a friend and think boxing, he’s too much, able to put on the pressure, able to fight on the back foot, very good mover.
‘If he does get the opportunity to fight either of those guys, I think he’d knock them out.
‘It’s going to take big money to get him back into boxing and into the ring and for battle. I don’t think he should retire.
I think he should fight the winner out of [Anthony] Joshua and [Oleksandr] Usyk and whoever wins that is the best in the world at this time and so he should come back and fight the winner.’
AJ is desperate to exact revenge over Usyk but Fury believes the former Olympic champion is unlikely to do so. He told Queensbury Productions: ‘Unless Anthony Joshua gets his a** up to Morecambe and lets me train him for this fight, Robert Garcia and 10 men like him will not make him beat Usyk.
‘Because: One, they don’t know him; two, they don’t know what he’s got in his engine; and three, he’s not a little Mexican who can go toe to toe with someone for 15 rounds.’
As far as Parker is concerned, he has signed a promotional deal with BOXXER and is eyeing great opportunities of his own.
He went on: ‘Dillian Whyte is another great fight, he’s coming off a loss to Tyson Fury but we had a very great fight in 2018, a very entertaining fight and a very close fight. If we do run it back, I’ll get the better of him.’
Joe Joyce is another option for Parker, who teased: ‘September, October, we’ve got something lining up very soon.’