"I just wish that he wouldn't go and talk to the media," she said Friday on radio's The Billy Bush Show. "It's not attractive to me, it really upsets me and I wish he would stop. ... I love my father. I just don't know why he's doing what he's doing. It's a weird situation, very odd."
Michael Lohan, 47, has frequently commented on his 21-year-old daughter's eventful life and that of their family, most recently talking about his divorce from Lindsay's mother Dina and the upcoming E! reality show Living Lohan with Dina and younger daughter Ali, 13.
Lindsay, meanwhile, told Bush's syndicated radio show she's not involved in Living Lohan – but isn't against it.
"Let them take the distraction away from me for a bit, it would help," she said.
And, she adds, don't dismiss the possibility of a possible appearance.
"Never say never. I don't know," she says. "It's my family, and I support them in many ways."
New AlbumLohan, meanwhile, is recording a new album – and don't look for angst-ridden songs reflecting her recent troubles, including an arrest and a stint in rehab.
"I've gone through so much and I think publicly people have seen that and I don't find that fascinating anymore," she says. "I think it's kind of over with because that's not where I am in my life, so I want it to be a fun record, I want it to be free-spirited and I want it to represent me in my life now, which is happy."