Inglis was stripped of the Australian captaincy on Tuesday after he was charged the previous day with drink-driving and speeding offences.
Meninga said Inglis was "bitterly disappointed in himself more so than anything else".
"He stuffed up. He has made a poor error of judgement and he has paid the price for it," he said.
"I want to see Greg have a strong off-season and start the season well for the Rabbitohs. He will lead Queensland again next year."