Shut/close your ears to something
Definition 1 of 1
Pro Tip 1/3Intentional Ignorance
The phrase implies a conscious decision to ignore something rather than not hearing it by accident. 
Despite the protests, the mayor closed his ears to the community's complaints.
Pro Tip 2/3Metaphorical Meaning
Remember, 'shut your ears' is not literal; it's used to describe ignoring sounds or information. 
She closed her ears to the gossip to focus on her work.
Pro Tip 3/3Negative Connotation
Using this phrase often implies a negative judgment about the person who is ignoring the information. 
He shut his ears to the warnings and continued his risky investments.