However, Chile's all-time leading goalscorer and most-capped player Sanchez was not on the list, having struggled for form and fitness at United.
The forward has yet to score or tally an assist in his two games this season, and his club suggested it would be best if he sits out these upcoming international matches.
"It's a recommendation from Manchester United's medical staff," Chile head coach Rueda said.
"He is recovering but all that this trip means the suggestion was that he should not participate in these friendlies.
"Respecting that and what Alexis feels we did not take into account for this call."
Sanchez last featured for his nation in a March friendly with Denmark. He did not take part in the three friendlies after that in May and June.
Chile look to rebuild after two successive Copa America titles in 2015 and 2016, along with a Confederations Cup finals appearance in 2017, were overshadowed when the nation failed to qualify for the 2018 World Cup in Russia.
They will meet Japan in Sapporo before visiting Suwon to play South Korea.
The South American nation will then square off against CONMEBOL rivals Peru in October.