The phrase "cross our mind" is correct and usable in written English.
It is typically used to express that a thought or idea has occurred to someone.
Example: "The idea to start a new project crossed our mind during the meeting."
Alternatives: "occur to us" or "come to mind".
But sometimes we lose because of a blind spot – a simple idea is overlooked and doesn't even cross our mind.
Erpenbeck does not say, but it may cross our mind that this is the kind of existence that might serve a war criminal's quiet rehabilitation.
"When it got to the end there, everybody on our team had to think about what the Bears had done in winning their last two games in overtime on big comebacks; it's just not true if our team says that thought didn't cross our mind," Packers safety Darren Shaper said.
That we had pushed him to it never occurred to us, nor did it cross our mind that there was anything wrong with humiliating a nice man for a physical characteristic over which he had no control.
As long as caffeine is ready and available, the importance of sleep does not cross our mind for longer than the ten minutes we spend every morning wishing we went to bed earlier.
"It didn't cross our minds at the beginning," Todd Woloson of Izze said of his sodas as mixers.
I'm positive it would cross our minds for a second before we moved on to something else.
But he said that "nobody mentioned homosexual marriage" at the synod because "it did not cross our minds".
Saga is always thinking and forever saying the things that cross our minds but are too hobbled by conventional politesse to mention.
This was a year before property prices peaked and while we were prepared for the ups and downs of living with lodgers, such a massive collapse in the housing market didn't cross our minds.
It's a good thing that, in addition to the chance to fire off any first, furious half-thoughts that cross our minds, Twitter has given us the expression *headdesk*.
