Sharon Stone claims LAPD officers came to her home during the O.J. Simpson chase and whisked her away -- but cops who were on the force back then don't have any such memory.

David Gascon -- who was a commander at the LAPD's Media Relations department during the O.J. years -- tells TMZ ... he's never heard of cops showing up to Sharon's crib on June 17, 1994, when officers were in hot pursuit of Simpson during that infamous televised low-speed chase.

Not only is Gascon personally unaware of it happening ... he says he'd never heard a single report of Sharon's involvement, at least not until she talked about it this past week.

Ditto for Tom Lange ... the lead LAPD detective on the O.J. case tells us he hadn't heard a peep about Sharon's claim cops ushered her to a hotel for safety reasons. In fact, Lange asks the obvious question ... why would O.J. go after Sharon at the time?

Lange insists, if Sharon's Simpson saga happened, he would've heard of it. As for Sharon's M.O. in telling it ... he suspects it might have to do with the 30th anniversary coming up in June.

Last, but not least, we spoke to a retired former LAPD officer -- who worked in the South L.A. division back in 1994 -- and he also says any Sharon-O.J. connection is news to him!

This retired officer questions how or why O.J. would have any reason to go to Sharon's house at the time ... especially with 20 patrol cars chasing him down the freeway.

The way Sharon put it in her new interview, her "Basic Instinct" fame from '92 is what supposedly spurred a bunch of officers to show up to her house to hide her at a hotel. Although, as many here have noted, she had no apparent connection to O.J. in those days.

Sharon has previously talked about how crazy it was for her in the '90s after her then-viral movie skyrocketed her to A-list status ... not to mention making her a bona fide sex symbol.

Again, the fact these former officers are taking her story with a grain of salt does not mean what Sharon is saying didn't occur -- but as far as they're concerned, it was never on their radar.

Guess there's no one else to have weigh-in at this point besides O.J. himself ... kidding.