Norris made the comment in the wake of a controversy after qualifying in Singapore, when Max Verstappen escaped lightly with just a pair of reprimands rather than grid penalties for impeding incidents in qualifying.
One involved blocking Yuki Tsunoda on track, which the stewards determined was largely down to the Red Bull team not giving its driver enough information.
The second resulted from Verstappen waiting at the end of the pitlane to create a gap before heading out on track, holding up a queue of cars in the process.
The reprimands came as surprise to rival teams, who usually expect grid penalties to result from such incidents.
Pierre Gasly insisted after the Singapore race that he will ask the FIA in Suzuka weekend to explain the lack of a harsher punishment for Verstappen, and Norris has also expressed his frustration.
"I don't want to say too much, because I'll just create controversy," said the McLaren driver when asked by Autosport about the Verstappen case.
"But I think the blocking one on track was the one that should have been a penalty. He blocked someone.
"It's not just down to the team. I know the team got the fine in the end of the day, but it should be down to the driver as well to look at his mirrors, and see if someone's there.
"You've got nothing else to do the whole lap but look in your mirrors, and it seems like a lot of people struggle to do that."
Source: Autosport