With or without a golden parachute, RadioShack chief Julian Day is headed for the exit doors.

The Fort Worth, Texas-based electronics chain — which last summer conducted a failed effort to sell itself despite hiring Goldman Sachs to get the job done — said yesterday that Day will retire from the company in May and warned that weak margins will hit fourth-quarter profits.

As The Post reported exclusively in March, the 57-year-old Brit had been peddling the retailer to various private-equity shops last year and stood to reap a potential payout worth as much as $93 million in the event of a sale.

A successful buyout of RadioShack would likely have added to the past mega-payouts Day received after leaving top posts at retailers including Kmart and Safeway.

While Day won’t reap a fortune from a going-private transaction, sources noted that he still holds RadioShack options worth tens of millions of dollars.