"Why should I feel sorry for what I said yesterday?" Myskina said when asked if she regretted her words about the Florida-based teenager and her father.
"I don't want to be on the same team with people who don't show respect to me as a person. End of story."
Sharapova has been kept out of this year's Fed Cup team by Myskina and U.S. Open champion Svetlana Kuznetsova, but Russian captain Shamil Tarpishchev has said he would welcome the 17-year-old next season.
Myskina, spearheading Russia's challenge for their first Fed Cup title this week in Moscow, was angry at Sharapova's father Yuri for his behaviour during their match at this month's season-ending WTA Tour Championships in Los Angeles.
Sharapova beat Myskina in the semi-finals on her way to capturing the Los Angeles crown.
OUTRAGEOUS BEHAVIOUR
"Every time Maria was playing a Russian girl there, her father's behaviour was simply outrageous, nasty and out of control," said six-times grand slam doubles champion and Russia Fed Cup coach Larisa Neiland this week.
Myskina backed her up: "I totally agree with Larisa. I feel his behaviour is totally incorrect, simply rude. I don't want to be around people like him.
"He was yelling and screaming instructions to her and I thought he just might jump right on the court at one point in the (Los Angeles) match," she said.
Yuri Sharapov received a warning from the chair umpire for coaching his daughter during the Myskina match.
Tarpishchev, however, tried to play down the controversy, which could jeopardise his team's chances for their first Fed Cup title in the weekend's final against champions France.
"(Yuri) Sharapov has a strange, quickly-changing nervous system. It often leads to stressful situations," Tarpishchev said.
"I must say that parents often interfere with the team's process. It gives us an extra headache but they are not the ones who decide the make-up of the team.
"I feel that things will calm down soon and we'll have Myskina, Sharapova, Kuznetsova and everyone else playing for Russia," he added. "In my 30 years as team captain I've seen a lot worse situations and we've managed to survive all of them."
