After missing a series of friendlies against Colombia in January through illness, Press was recalled to the USWNT squad in February for the 2021 SheBelieves Cup. She appeared in all three games and scored twice in victories over Brazil and Argentina as the United States retained the SheBelieves Cup. In June 2021, Press was named in the 18-player United States Women's soccer team roster for the delayed 2020 Tokyo Olympics. She appeared in all six matches for the United States in the tournament, which saw the team take home the bronze medal on August 5 following their 4–3 victory over Australia. Press scored and also forced an own-goal in the team's 6-1 group stage win over New Zealand on July 24, and converted a penalty kick in the team's quarter-final shootout win over the Netherlands on July 30. Press tallied a total of six goals and five assists in 2021 for the United States.
