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The honour comes a little more than a year after she shocked the sporting world when she became the first qualifier to win a Grand Slam by clinching the US Open.
The 31-year-old Romanian was tested positive for Roxadustat in a sample provided at the US Open.
Serena singled out decorated NFL quarterback Tom Brady's short-lived retirement from American football.
Spanish teenager Carlos Alcaraz claimed his first Grand Slam title and took the world number one ranking with a 6-4 2-6 7-6(1) 6-3 win over Norway's Casper Ruud in the U.S. Open final.
'I struggled to win my first WTA title. It took me time. So I believe this will take me time,' said the Tunisian.
It was twice French Open champion Swiatek's first major title on a hard court and the 21-year-old is the first Polish woman to win the US Open.
The two legends watched the men's singles quarterfinal between Spanish teenager Carlos Alcaraz and Italy's Jannik Sinner.
Fifth seed Ruud overcame Khachanov 7-6(5), 6-2, 5-7, 6-2 to reach his second Grand Slam championship match this year but said it took a Herculean effort after clinching the first-set tie-break in the longest rally of the tournament by far.
If he can beat Ruud, Alcaraz would become the youngest man to be world No. 1.
After a sluggish start, the Pole came alive in the second set and overcame an early break in the decider by winning the final four games to see off the powerful Belarusian.