Fa'asuamaleaui was one of three players handed suspensions by the match review committee on Sunday morning after a Saturday night of sin-bins in the NRL.
Brisbane second-rower Brendan Piakura is facing a two-game ban for his high tackle on Terrell May, which would become three matches if he fights it and loses.
The Dolphins' Ray Stone got a one-game ban for a high tackle on Beau Fermor, which would become two matches if he unsuccessfully challenges.
But it is Queensland State of Origin forward Fa'asuamaleaui's high-tackle charge that will attract most attention.
The in-form Gold Coast middle will miss one game with an early guilty plea, or two if he elects to fight it and fails in his bid at the judiciary.
It was Fa'asuamaleaui's sin-bin for a high tackle on Felise Kaufusi in the second minute of Saturday's 36-10 loss that prompted Hasler to make his frustration clear after the match.
Unhappy with the NRL's crackdown on head contact, the veteran coach was also unimpressed with another high-tackle call against Fermor.
"People pay good money to come and see a game of footy," Hasler said in Saturday night's press conference.
"With the playing at the head, I think it just interferes a bit with the integrity of what the game is about.
"Where is the intention? It's just another spoiling part of the game. It's not quite as bad as Magic Round two years ago, but I find it's disappointing.
"It's an area that they have to look at with the intention. In six weeks when another competition starts with State of Origin, there are going to be people in the sin bin."
"It's spoiling the game for fans. At the end of the day it is the fans who turn up and pay their money to watch a game of football.
"And I don't think they're getting a fair deal at the moment."
The league's crackdown dominated Hasler's four-minute press conference, which began with an address on the matter before any questions were asked.
But the Titans mentor said his comments were "in no way a whinge", and he did not expect to be fined by the NRL.
Instead, he believed the NRL needed to look at the application of the sin bin after seven players were sent to it over the first six games of the weekend.
AAP understands Hasler's press conference will be reviewed by the NRL on Monday, as is common practice.
"I haven't been critical of anyone, I haven't been critical of the referees, so I don't expect a $25,000 fine either," Hasler said at the press conference.
"It's something they are just going to say, they (defenders) have to lower their target. It's not as simple as lowering your target."
