The phrase "invitation for him" is correct and usable in written English.
You can use this phrase when you are asking someone to invite someone else to something. For example, "I would be so grateful if you could extend an invitation for him to attend the party."
Two weeks later Shotton encountered McCartney cycling through Woolton, and conveyed Lennon's casual invitation for him to join the Quarrymen, and Vaughan also invited McCartney to join.
So this is an open invitation for him to elaborate.
Giving Ronaldo a penalty kick is a near-certain invitation for him to score.
"I called Ray's office and conveyed a personal invitation for him to join us this evening," Stephen said.
According to Indigenous oral accounts and European histories, Bennelong had sent the governor a piece of whale meat with an invitation for him to come to Kai'ymay.
After Mr. Franzen made public comments suggesting that her choices were unsophisticated and appealed mainly to women, she revoked an invitation for him to appear on her show.
Graceland and the Memphis Convention & Visitors Bureau extended invitations for him and a loved one to visit Elvis's home in Memphis.
One can imagine the governor sitting by the phone and waiting for Democratic candidates to call with invitations for him to come campaign.
Since Francis' election last March, Israeli and Palestinian leaders have extended invitations for him to visit the region.
Although continuing to meet with close friends and family, the Foundation discouraged invitations for him to appear at public events and denied most interview requests.
An invitation to audition for him by singing "Summertime" was his equivalent of inviting a woman up to see his etchings.
