The Friends actor issued a plea to Elon Musk, who owns the platform, to remove the Bound 2 rapper's account following a string of anti-Semitic posts, including messages in which he declared himself to be a Nazi and another in which he professed his "love" for Adolf Hitler.
Schwimmer took to Instagram to share a selection of West's recent comments and wrote: "This is so 2022."
"We can't stop a deranged bigot from spewing hate-filled, ignorant bile … but we CAN stop giving him a megaphone, Mr Musk," Schwimmer said.
"Kanye West has 32.7 million followers on your platform, X.
"That's twice as many people than the number of Jews in existence.
"His sick hate speech results in REAL LIFE violence against Jews.(sic)"
The 58-year-old actor expressed his disgust that there hadn't been "sufficient outrage" over West's comments and warned staying silent made people "complicit" in the rapper's actions.
"I don't know what's worse, the fact that he identifies as a Nazi (which implies he wants to exterminate ALL marginalised communities including his own) or the fact that there is not sufficient OUTRAGE to remove and ban him from all social media at this point," Schwimmer posted.
"Silence is complicity. (sic)".
West - who was previously banned from X from December 2022 until mid-2023 for similar disturbing messages - sparked outrage with his X posts a few days ago.
He wrote: "IM A NAZI" and "I LOVE HITLER," before later adding: "Hitler was sooooo fresh."
In later posts, he declared: "I'm racist. Stereotypes exist for a reason and they all be true. You can get money with Jewish people but they always gonna steal and invite you over to they house on Friday ...
"Jewish people actually hate white people and use black people.(sic)"
With AAP.