"It shouldn't be part of Origin really, it should be a sin bin at least," he said.
Anderson said he was pleased with the overall performances of Klein and Shayne Hayne although he conceded Gallen and Cooper Cronk were fortunate to stay on the field.
Cronk was penalised for failing to allow James Maloney to get up and play the ball after the five-eighth had made a break for the line.
"These games are difficult to referee as there is a lot at stake for both teams," said Anderson.
"There were two possible sin-bins, one from Cooper Cronk for a professional foul on Maloney in the first half, but the adjudication was not to put him in the sin-bin.
"In regards to Paul Gallen, he was put on report, he was penalised and the match review committee have dealt with it.
"Although we don't condone striking in any way, I am comfortable with both decisions."
Anderson is yet to make a decision who will be in charge of game two but said he didn't expect the furore to make it harder to officiate.
"Game two will be difficult because there is a lot at stake," he said.
- AAP