Close their mind to - Idioms by The Free Dictionary
close (one's) mind (to) (something) (redirected from close their mind to)
close (one's) mind (to) (something)
To become reluctant or resistant toward considering something. I've tried encouraging her, but it seems she's really closed her mind to the idea of running for office. Don't close your mind—there's always hope that a situation can change for the better.
close (or shut) your mind to (or against) refuse to consider or acknowledge.
close your ˈmind (to something) be unwilling or unable to consider new ideas, proposals, etc: His mind is closed to the possibility of reform. ▶ closed-ˈminded adj. (disapproving):: She was accused of being closed-minded and intolerant of other people’s opinions.