The 48-team tournament is also being hosted by the United States and Canada and will feature 104 games, culminating in the final in New Jersey on July 19.
The Knicks rallied from 29 points down to edge the Spurs 107-106 on Wednesday and seize a 3-1 lead in the best-of-seven series with game five on Saturday in San Antonio.
The 63-year-old replaces Alvaro Arbeloa after Madrid finished a second consecutive season without a major trophy, falling behind domestic rivals Barcelona.