She played dual roles of twins, separated in infancy, who try to reunite their long-divorced parents, played by Dennis Quaid and Natasha Richardson.
In the 2010s, she appeared in films Machete (2010), Liz & Dick (2012) and The Canyons (2013), amongst others.
She has been romantically linked to Ronson, 31, since 2008, but their reportedly tempestuous relationship is said to have come to an end two weeks ago.
In the tongue-in-cheek video, which was uploaded yesterday, Lohan says that she's looking for a new partner who likes long walks on the beach, car chases on the Pacific Coast Highway and "passing out in Cadillac Escalades".
Lohan will return to television with a recurring role on the Sky One series Sick Note in 2018.
Lohan has three younger siblings, all of whom have been models or actors: Michael, Jr., who appeared with Lohan in The Parent Trap, Aliana, known as "Ali," and Dakota "Cody" Lohan.
Following a highly publicized interview with Oprah, Lohan was subject of the OWN docu-series, Lindsay (2014-15).