The singer admitted that he "can't understand" why he hasn't been asked to perform at the opening ceremony of the London games.
Asked what else he hopes to achieve in his career, Watson told Digital Spy: "The Olympics please!
"What I can't understand is why they haven't thought of having a bloke that's survived two f**king brain tumours, who's the best-known tenor in the UK and has been around for ages and can sing like I can sing to perform at the Olympics."
He added: "It's exactly the same with the Jubilee - there's a lot of ambiguity around that and the Olympics. We'll wait and see I suppose."
Watson, who releases his new album Anthems - Songs To Inspire A Nation next week, said that he came up with the idea "because this year is such a year of patriotism with the Jubilee and the Olympics going on.
"I've been singing these kinds of songs for years at festivals so it's nice to be able to officially record them and put them out there properly."
> Read Digital Spy's interview with Russell Watson