Norris says he felt like he let down the hundreds of people in his McLaren team who were relying on him to get the job done.
Without a banker lap, Norris had one shot at a time in Q1 in Mexico, but he ran wide and had to abort, leaving him in 17th on the final grid.
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The mishap came just a couple of races after Norris had a fraught time at the Qatar sprint weekend, when he made costly mistakes in both qualifying and the shootout.
From his lowly grid spot, Norris enjoyed a superb race in Mexico, eventually finishing fifth despite dropping places at the restart following the red flag for Kevin Magnussen's crash.
However he was convinced that he should have been on the podium.
When asked by Autosport if he had thoughts about what might have been, Norris said: "Of course, of course.
"I know people complain at why I'm so disappointed at times. And it's because of days like today. Of course, I'm going to be disappointed, right?
“Like there's a chance to finish on the podium and get another trophy, score more points. Why would I ever be happy about a day like Saturday?
“I moved on very quickly, I moved on better than I did in Qatar. And we put a lot of focus on Sunday. And I think that was evident, and then it paid off. But yeah, I'm never going to be happy after a day like Saturday, right? Because I know what we're capable of doing.
“And when you have a day like today [Sunday], then you think of the ‘what could have beens’? And yeah, there's too many what could have beens at the minute. I just need to tidy some things up, and then things can start to roll."
Source: Autosport