The 29-year-old was speaking on the BBC Stephen Nolan radio show on Tuesday morning following the announcement on Monday night.
Of the 16 shortlisted - the biggest shortlist in the award's history - only two are from outside England. Scotland's world tennis number one Andy Murray and Real Madrid and Wales footballer Gareth Bale.He said: "I think there are people on the shortlist that I deserve to be in front of.
"Credit to Andy Murray he deserves it and should run away with it.
"But I think of at least one of Jonny Rea, Bethany Firth and myself should have been on it."
Asked what he thought the reasons were behind his omission, he responded: "It looks to me, maybe anti-boxing, maybe anti-Northern Ireland.
"There's five Yorkshiremen on it."
Jonathan Rea this year celebrated winning back-to-back World Superbike titles. Bethany Firth was the most decorated athlete in Rio winning three golds and a silver in Rio. She missed out ahead of three other Paralympians.
And only Bale and Leicester City striker Jamie Vardy are the only non-Olympians or Paralympians on the list.
Frampton said he was convinced if he was English he would be on the list.
He said: "I think they look favourably toward them.
"Take Nicola Adams she has had an incredible achievement this year. And if she made the list, then I think I should have been in with a shout."
Frampton said he was "slightly disappointed" with missing out on a nomination.
He added: "I unified a title, defended a title and beat a three-weight champion, and all on the road.
"But I'll not complain, I wasn't picked for whatever reason, maybe they didn't have the space."