The woman who jumped on a moving car to try and stop thieves from stealing her French bulldog says cops are finally taking her case seriously ... all thanks to the media.

Ali Zacharias is the poor woman who had her dog, Onyx, taken from her in broad daylight in downtown Los Angeles earlier this month -- and she joined us on "TMZ Live" Monday to explain exactly how it went down, and what cops are doing now to find the culprits.

Interestingly, she says the LAPD has been much more responsive now that video of the daring and violent dognapping is in the news -- and for good reason ... it was dramatic as hell.

As we reported, Ali was eating outside a Whole Foods in DTLA when a woman walked by and grabbed Onyx's leash and walked away.

Ali says she chased after the dognapper, who got into a car full of people. She says she stood in front of the car, then found herself clinging to the hood for dear life as the thieves sped through town ... fearing for her life as the pavement flew by.

The brazen dognapping is similar to when Lady Gaga's dogwalker got shot over her French bulldogs ... with the Gaga case leading to a huge police response and investigation.

Ali's dog was taken Jan. 18 and the video only surfaced this past weekend, and now that her story is in the media -- she says LAPD is being way more helpful and responsive ... which we suppose is a good thing if it helps get her pooch home sooner.

Gaga's dogs were ultimately returned to her safe and sound ... and Ali's hoping for a happy ending here too, and offering a reward for any info on Onyx.

Here's hoping the added pressure gets things moving ... pet lovers unite!