Martina Navratilova has joined calls for Margaret Court Arena in Melbourne to be renamed after the tennis champion said she would no longer fly with Qantas because of the airline's stance on same-sex marriage.

Margaret Court, who is now a pastor at Victory Life Church in Perth, wrote an open letter to Qantas in yesterday's West Australian saying she was disappointed that Qantas chief Alan Joyce had become an active campaigner for same-sex marriage.

Court wrote that she believed in the traditional definition of marriage as stated in the Bible.

"Your statement leaves me no option but to use other airlines [where] possible for my extensive travelling," she said.

Retired tennis player Navratilova, who is openly gay, responded on Twitter, suggesting that "maybe it's time to change the name of Margaret Court Arena then".

Navratilova, who has won 18 grand slam singles titles, later wrote that Court was also on the "wrong side of history".

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In an article for the Sydney Morning Herald, Peter FitzSimons asked if Melbourne Park wanted to have an arena named after someone who "stands so firmly against such inclusiveness", saying Court "embarrasses herself".

But Prime Minister Malcolm Turnbull said he did not support the calls to rename the arena.

"Whatever people may think about Margaret Court's views on gay marriage, and she's entitled to have them, and she's entitled to fly on whatever airline she likes, or not ... she is one of the all-time greats and the Margaret Court Arena celebrates Margaret Court the tennis player," he told radio station 3AW.

US singer-songwriter Ryan Adams also weighed in on the issue ahead of his performance at the Margaret Court Arena tonight.

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Court has been a critic of homosexuality and same-sex marriage for decades.

Dellacqua hits back after Court's criticism

Casey Dellacqua has also criticised Margaret Court's anti-gay marriage stance ( AAP Image: David Crosling )

Many social media users pointed out Court will have a hard time flying in Australia, with Qantas rival Virgin also supporting same-sex marriage.

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Australian player Casey Dellacqua also criticised Court's anti-gay marriage stance after her family was targeted for criticism by the tennis great.

"Margaret. Enough is enough," Dellacqua tweeted, posting a photo of Court's letter to a newspaper editor published in 2013.

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In the letter, the 74-year-old Court laments the birth of Dellacqua's child in a same-sex relationship.

"It is with sadness that I see that this baby has seemingly been deprived of a father," Court wrote.

Dellacqua is in France and has progressed to the doubles semi-finals of the WTA event in Strasbourg with compatriot Ashleigh Barty.

Tennis Australia distances itself from Court remarks

In a statement released yesterday, Tennis Australia moved to distance itself from Court's remarks.

It said while her achievements in the sport were respected, her views did not align with its values of equality, inclusion and diversity.

Mr Joyce faced criticism by the Immigration Minister Peter Dutton recently after signing a letter with a group of other company executives promoting marriage equality.

A man also smashed a lemon meringue pie into the face of Mr Joyce during a business forum in Perth because he wanted to make a statement about same-sex marriage.

ABC/AAP