League MVP Stephen Curry, meanwhile, issued a mock apology for the Warriors' success.
Green and Curry made their comments Tuesday when they were asked about people discussing whether the Warriors "deserve" their title, possibly in reference to Los Angeles Clippers coach Doc Rivers saying to Zach Lowe of Grantland, "You need luck in the West. Look at Golden State. They didn't have to play us or the Spurs."
"If they saying that, they aren't the champs. It's simple. Gregg Popovich didn't say that. That's one organization I really respect. And you haven't heard anybody in they camp say that. You ain't heard anybody from OKC say that, some of the organizations that I really respect," Green said.
"You see the ring fitting man over there? Jason of Beverly Hills, he over there fitting us for our ring? That's pretty cool. So if they saying that, it's some bitterness and some saltiness going around. They obviously not the champs. So who cares what they say. It is what it is."
Curry "apologized" to critics of the Warriors' title on Tuesday.
"I apologize for us being healthy, I apologize for us playing who was in front of us. I apologize for all the accolades we received as a team and individually. I'm very, truly sorry, and we'll rectify that situation this year," he said.
"Bitter" is how Green's teammate Klay Thompson described Rivers' comments on Friday, when he also said of Rivers' team, "I wanted to play the Clippers last year, but they couldn't handle their business."
Last week, center Andrew Bogut also responded to the critics in an interview with KNBR radio.
"I've actually got my [championship] ring fitted for my middle finger, so they can kiss that one," Bogut said.
"It's just bad, man," Green said Tuesday, describing how he'd feel about questioning someone else's title. "I would feel bad about myself doing that. That's just crazy to me, but that just lets you know how many people didn't want to see us win. Because they sick."
Asked why he believes the Warriors are attracting this particular criticism, Green said, "People hate change. People don't accept change well."
Warriors fire back at critics of their title run
ESPN Warriors reporter Ethan Strauss discusses the recent comments from Warriors players regarding those critical of their championship season.