Zadorsky played for USL W-League side Ottawa Fury Women, helping captain them go to a second-place finish in the 2013 Central Conference final and a win in 2014. The Fury disbanded its long-standing women’s program in March 2015 for “business reasons”.

Zadorsky made her full team debut on January 14, 2013 at the age of 20. While Zadorsky did not make the 2015 Women’s World Cup roster, she was in the side that finished fourth at the 2015 Pan American Games in Toronto. She was on the roster and played on the Canadian side which won the bronze medal at the 2016 Rio Olympics.

Zadorsky was signed by Australian side Perth Glory on August 1, 2014 ahead the 2014 W-League season. Zadorsky played 14 games for the Glory, scoring one goal and helping them reach the regular season win and a Grand Final appearance.

Following the folding of the Fury, Zadorsky signed with Damallsvenskan side Vittsjö GIK, in the top flight of Swedish football, on March 29, 2015. She appeared 18 times for side during the 2015 season.

On February 8, 2016, it was announced that Zadorsky would play for the Washington Spirit for the 2016 season of the National Women’s Soccer League via the NWSL Player Allocation She played 11 regular season matches, starting 10, totaling 911 minutes in the regular season, as well as played the entire match for both post season matches. Zadorsky recorded assist in the semifinal to Ali Krieger to give the Spirit the early lead on the way to the team’s first ever semifinal victory. Zadorsky was voted Spirit Newcomer of the Year for 2016.

She played 21 games for the Spirit in 2017, serving as the side’s captain.

On January 23, 2018 Zadorsky was traded to the Orlando Pride in exchange for Aubrey Bledsoe and a first round draft pick. Zadorsky played in 23 games during her first season with the Pride. She was reassigned as a federation player to the Pride ahead of the 2019 season. On September 29, 2019, Zadorsky scored her first goal for the club in a 1–1 draw with Sky Blue FC. In March 2020, the impending NWSL season was postponed due to the coronavirus pandemic. An eventual restart was made through a smaller schedule 2020 NWSL Challenge Cup tournament. However, on June 22, Orlando withdrew from the tournament following positive COVID-19 tests among both players and staff.

On May 25, 2019 she was named to the roster for the 2019 FIFA Women’s World Cup.

In August, having been unable to feature for Orlando Pride in 2020, Zadorsky moved to English FA WSL club Tottenham Hotspur on loan ahead of the 2020–21 season.