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Swiatek lost just one set during this year's Roland Garros campaign, extending her winning run to 35 matches.
The World No 1 had triumphed at Roland Garros in 2020.
Zverev cried in pain following the fall and had to be assisted into a wheelchair by the physio and Nadal, who quickly made his way round the net to help support the 25-year-old.
Zverev had to be pushed off the Philippe Chatrier court on a wheelchair after twisting his ankle late in the second set as he trailed 7-6(8), 6-6 in his meeting with 21-time Grand Slam champion Nadal.
Casper Ruud rallied from a set down to beat an error-prone Marin Cilic 3-6, 6-4, 6-2, 6-2 on Friday to become the first Norwegian man to reach a Grand Slam singles final.
Nadal was leading 7-6(8) 6-6 when Zverev suffered the injury.
The French Open tournament director added that her comments were taken out of context.
World No. 1 Swiatek crushed her Russian opponent 6-2, 6-1 while teenager Gauff recorded a comfortable 6-3, 6-1 win over Trevisan in the semifinals.
They went down fighting to Jean-Julien Rojer and Marcelo Arevalo 6-4, 3-6, 6-7.
Swiatek, who turned 21 on Tuesday, is on the longest unbeaten run in the women's tour since Serena Williams.
Results 71-80 of 220
