He scored the winner at the Santiago Bernabeu on Sunday as Madrid beat Barcelona.
The Serbian earned a 7-6(1) 6-3 7-5 victory over fourth seed Casper Ruud in the final match of the 2023 competition.
Under the rules, travellers seeking to enter the U.S. have to be fully vaccinated and provide proof before boarding flights.
The withdrawal has therefore put paid to his hopes of completing a rare calendar year Grand Slam.
Harmony Tan’s dream Wimbledon debut came to an end when she was beaten 2-6 3-6 by 20-year-old American Amanda Anisimova in the fourth round on Monday.
Carlos Alcaraz relished making his debut on Court Philippe Chatrier as the rising star made an impressive start to his French Open campaign on Sunday.
The Spanish 19-year-old Alcaraz claimed his fourth title of the season at the Madrid Open on Sunday, defeating world number three Alexander Zverev in the final match.
The French Open begins on May 22, and Alcaraz will skip the Internazionali d’Italia to ensure he is rested and focused on the tournament in Paris.
Nadal subsequently prevailed to reach his 99th Masters 1000 quarter-final, setting up a last-eight showdown with teenage compatriot Carlos Alcaraz.
Novak Djokovic’s wait for a first title in 2022 continues.
