'pass on to him' is correct and usable in written English.
You can use it when you want to say that you are giving something to someone else. For example: "I have a gift for him, can you please pass on to him?".
We have four hours left to teach him what's important what do you want to pass on to him?
Sciarpelletti has said Gabriele gave him the envelope, but later that someone gave it to him to pass on to him.
Asked by Treays about the legacy for his son he laughed: "At the moment, the only legacy I want to pass on to him is to sleep more and maybe not to have to change his nappy quite so many times, but as he gets older I'm sure he'll pick up the bug of conservation".
"The dilemma is that if a guy is transversing a sector in routine, normal flight, and you don't have any information to pass on to him, it may be a while before you ask him to do something," said one government air traffic control expert who is outside the aviation administration.
Hetty might have adored Ned, but she failed to pass on to him her frugal ways.
"At the moment, the only legacy I want to pass on to him is to sleep more and maybe not have to change his nappy so many times".
"Hackers would sometimes obtain data and then pass it on to him.
"He's a real P. T. Barnum, a visionary," said Gavin Brown, a Tribeca dealer who represented Fischerspooner before Deitch did but was happy to pass them on to him.
I have received your letter and will pass it on to him as soon as he returns to London.
Harrelson regards baseball as something worth passing on, the way others passed it on to him.
His grandfather built the house and passed it on to his parents, who passed it on to him.
