Los Blancos have only made two new signings in the current market, bringing in Rudiger on a free transfer from Chelsea, in addition to Tchouameni in a big-money deal from Monaco, and the pair are in line to make their debuts for the club during the upcoming tour.
Alvaro Odriozola is also in the squad, with the defender back at Bernabeu following a loan spell at Fiorentina, but there is no Borja Mayoral amid the speculation surrounding his future.
There have been suggestions that Mayoral, who spent the second half of last season on loan at Getafe, could join up with the squad at a later date due to a problem with his COVID-19 vaccination.
Reinier Jesus has also not been included, with the 20-year-old allegedly battling for his future at Real Madrid after an unsuccessful loan period with Borussia Dortmund.
Takefusa Kubo was also left out, with Real Madrid announcing that they have reached an agreement with Real Sociedad to sell the 21-year-old, who was on loan at Mallorca last term.
Goalkeepers Luis Lopez and Lucas Canizares will hope to be given opportunities to impress during the tour, while there is also a spot for Jesus Vallejo amid the speculation surrounding his future.
Vinicius Tobias, who is currently on loan from Shakhtar Donetsk, is also travelling to the United States, in addition to Dani Ceballos, another player to be strongly linked with an exit this summer.
Marco Asensio is said to be one of eight players that Los Blancos are prepared to sell in the current market, with the Spain international being strongly linked with an exit.
Arsenal, Liverpool and AC Milan are among the teams to be credited with an interest in Asensio, but he has also been included alongside 21-year-old forward Juanmi Latasa.
Eden Hazard is also in the squad, with Ancelotti recently revealing that the Belgian international could be used as a back-up centre-forward during the 2022-23 campaign.
"We have a lot of options for that position. [Karim] Benzema is the top one. But, we have to understand it'll be a strange season with the World Cup in the middle. Given the quality Eden has, it could be good for us to have him there," Ancelotti recently told reporters.
Luka Jovic has recently joined Fiorentina, leaving Real Madrid short of options at centre-forward, which has seen Mariano Diaz named in the squad despite the speculation surrounding his future.
Los Blancos will take on Barcelona, Club America and Juventus in their three friendlies in North America before facing Europa League holders Eintracht Frankfurt in the UEFA Super Cup on August 10.
Full squad:
Courtois, Lunin, Lopez, Canizares; Carvajal, Militao, Alaba, Vallejo, Nacho, Rudiger, Mendy, Odriozola, Tobias; Kroos, Modric, Casemiro, Valverde, Vazquez, Tchouameni, Ceballos, Camavinga; Hazard, Benzema, Asensio, Vinicius, Rodrygo, Mariano, Latasa