Norman made the comments in separate interviews with ESPN and the BBC on Wednesday.
"I'll be honest with you, since Jon signed, I know he's been inundated by players saying, 'I want to play on your team, Jon. How do I get on that?'" Norman told ESPN.
"I know my phone is blowing up," the Australian also told BBC.
Rahm made the jump from the PGA Tour to LIV last week for a reported $566 million ($A860 million), most of it guaranteed.
Welcome to the LIV family — Greg Norman (@SharkGregNorman) @JonRahmpga. I met you when you were 19 and recognized your immense talent at the time. Your accomplishments since then have been tremendous. Look forward to an incredible journey ahead mate. pic.twitter.com/AgwpEhGHbVDecember 7, 2023
Norman said the Spaniard's addition further validates LIV's 54-hole format and team competition.
"I think word is getting out there amongst all the players around the world, even the top players, the best players in the world," Norman told ESPN.
"They love our format, they love our platform, they love the team spirit, the team atmosphere. And to be honest with you, I've seen it resonate very, very loudly this year. And obviously, Jon is an incredible addition to us."
LIV begins its third season at Mayakoba in Mexico on February 2-4.
In the meantime, all eyes are on which golfers make the jump to fill out Rahm's team.
"It will create a domino effect, there will be more apples falling from the tree - no question about it, because LIV continues to develop," Norman told BBC.