In December, the world number 55 switched international allegiance to Austria and posted about it on social media, with sharp-eyed fans quickly spotting striking similarities to Kasatkina's announcement from when she began representing Australia.
In her post, Potapova said Austria was "a place I love, is incredibly welcoming and a place where I feel totally at home," the exact same wording that Kasatkina used to describe Australia in March.
Kasatkina also addressed the parallels on X, posting: "No, we are not from same agency."
Asked about it at the Australian Open, Potapova told reporters: "Well, I don't find anything wrong with that because you cannot say it in a better way.
"And why not? It was perfect words. I loved it. We loved it with my team, with everyone. So, yeah, we gave it a shot," she added, speaking after her 3-6, 7-5, 6-2 win over Dutchwoman Suzan Lamens in the first round.
"I don't think that it's something terrible happened. I think the media just blew it up just because they didn't like me with the fact of it happening. I mean, who cares about posts, right?"
Potapova faces Briton Emma Raducanu, the 2021 US Open champion, in the second round.
The 24-year-old had been playing on the WTA Tour as a neutral athlete after Russian and Belarusian players were banned from competing under their own flags following Moscow's invasion of Ukraine in 2022.
She is among a number of Russian-born tennis players to have changed their nationalities, including Kasatkina, Elena Rybakina (Kazakhstan), Kamilla Rakhimova (Uzbekistan) and Polina Kudermetova (Uzbekistan).