Jay Gruden is taking a page out of his brother's insensitive comment playbook ... saying Tuesday he believes the Washington Football Team should have never dropped its racist "Redskins" name.
Jay made the eyebrow-raising statement on the "Russell & Medhurst" radio show ... just three months after Jon Gruden was ousted from his Raiders gig for a pattern of highly offensive comments in emails.
"I don't want to ruffle any feathers," the former WFT head coach said while mocking the hosts for talking so much about the team's plan to officially adopt a new nickname next month, "but they should have never changed the name in the first place.