Nadal has been exceptional in Grand Slams this seasons, winning the Australian Open and the French Open.
The world no. 1 will be hoping for a turn of fortunes at the fourth and final Grand Slam of the year.
Kudermetova participated in the Canadian Open where she lost in the round of 64 against Ajla Tomljanovic.
Most recently, Sakkari took part in the Cincinnati Masters but was eliminated in the very first round by Caroline Garcia.
Auger-Aliassime's best performance was at the Los Cabos Open where he made it through to the semi-final where he was beaten by Cameron Norrie.
Ruud went the distance at the Swiss Open earlier this month, beating Matteo Berrettini in the final to lift the crown.
Alex Molcan and Thiago Monteiro are scheduled to face one another in the first round match of the US Open 2022 on Tuesday, August 30.
Medvedev was banned for participating at Wimbledon as organisers had barred Russian and Belarusian players owing to Russia's invasion of Ukraine.
Daria Kasatkina and Harriet Dart are scheduled to face one another in the first round match of the US Open 2022 on Tuesday, August 30.
Cori Gauff and Léolia Jeanjean are scheduled to face one another in the first round match of the US Open 2022 on Tuesday, August 30.