Lohan was confirmed earlier this week as the star of an upcoming biopic about Taylor, but O'Donnell later suggested that she's not "capable" of taking on the role.
Following a backlash from Lohan's fans and her father Michael Lohan, O'Donnell defended her comments and suggested that the actress "needs help".
However, Lohan has criticised O'Donnell's comments in an interview with Access Hollywood.
"It's funny that someone you don't know at all can say something so intrusive and so knowing," she said. "You know, I did one of my first interviews with [Rosie] when I was little. I was so excited."
The biopic's producer Larry Thompson has previously said he is "convinced that [Lindsay] is going to deliver" in Liz & Dick.