Close your mind to something
Definition 1 of 1
Pro Tip 1/3Stubborn Refusal
Shows a strong unwillingness to accept new ideas or information. 
Despite the evidence, she closed her mind to the possibility that she was wrong.
Pro Tip 2/3Emotional Resistance
Often linked to feelings, as one might refuse to accept emotionally difficult truths. 
After the breakup, he closed his mind to any advice about moving on.
Pro Tip 3/3Impeding Progress
The phrase implies that growth or change is hindered by not being open to ideas. 
The manager closed her mind to innovative strategies, impeding the company's progress.