Harrison has had a see-saw career since winning Olympic gold in 2000 but is now emerging as a contender for Haye's World Boxing Association (WBA) title after the champion's failure to agree terms with either of the Klitschko brothers.
European champion Harrison said to Haye: "I'm about as bored as every other fight fan about hearing why you won't accept fights.
"What are we in this game for?
"I say to try and win titles and create a legacy but if it's money you want then outside of the Klitschko fight I'm the only guy that makes you money.
"I am accepting the terms you have offered me and now we will see what you are made of."
Harrison urged Haye to "man up and get this fight signed", adding: "So bring on the Battle of Britain and I will be the Hayebreaker come November 13."
Harrison's promoter Eddie Hearn added: "The hard work is done and now it's up to Haye and (manager Adam) Booth.
"We are at the end of the line now, everything is in place and now it's up to them.
"This is a 10 million pounds fight and the biggest the country has ever seen, but more than that it's personal between them - there will be no love lost in the ring if we get this signed."
Source: AFP European Edition