be thick-skinned

To be immune to or able to ignore the verbal attacks or criticisms of others. You have to be pretty thick-skinned if you want to succeed in the entertainment industry. For how much she mocks other people, you'd think she'd be a bit more thick-skinned than that. My older brothers teased me mercilessly growing up, so I'm pretty thick-skinned these days.

See also:

thick-skinned
thin-skinned
have a thick skin
have a thick hide
be onion-skinned (about something)
skinned
have a skin like a rhinoceros
onion-skinned
have a hide like a rhinoceros
have a hide/skin like a rhinoceros

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