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. It's like our boss has closed his mind to any viable means of keeping the company from going bankrupt. It's so frustrating!

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.