Earlier, Alcaraz claimed the no. 1 spot in the ATP rankings when he won the US Open after beating Casper Ruud in the final.
Carlos Alcaraz became the first adolescent to ever reach No. 1 in the ATP rankings by winning the tournament, which saw him rise to No. 1.
Carlos Alcaraz and David Goffin will take on each other in the round of 32 of the 2022 ATP Astana Open on Tuesday, October 4.
Carlos Alcaraz and Casper Rudd are scheduled to face each other on Monday, September 12 in the final of the 2022 US Open.
The 19-year-old, who qualified for the Nitto ATP Finals for the first time, will face Frances Tiafoe in the semi-finals.
Nadal's earlier exit from the competition gives third seed Alcaraz an opportunity to be world no. 1 by the end of the Grand Slam.
On Monday, the fourth round of the 2022 US Open will feature the matchup between world number four Carlos Alcaraz and seventeenth-ranked Marin Cilic.
On Saturday, the third round of the 2022 US Open will feature Carlos Alcaraz of Spain taking on Jenson Brooksby of the United States.
On Thursday, the fourth-ranked Carlos Alcaraz will play Argentina's Federico Coria in the second round of the 2022 US Open.
Carlos Alcaraz and Marin Cilic are scheduled to face one another in the Third round of the 2022 Cincinnati Open on Friday, August 19.