Speaking to Radio Live, Conner, a four-time winner of the event and an Olympic Games bronze medallist, disputed that New Zealand would be "giving a break to the foreigners" if Coutts did not take part in the next Cup event.
"If I was trying to win, he'd certainly be involved," the 75-year-old said.
"Who's smarter about the America's Cup than Russell Coutts? No one. There is no one.
"He's won more events, he knows more about it, he knows how to win, he's the best strategist, but why wouldn't you want the best guy in your country involved? If there are any hard feelings, get over it. He's the best sailor, most knowledgeable, most astute."
"If they don't have Russell Coutts involved, they're giving a break to the foreigners."