[7] They won gold on the novice level at the 2011 U.S. Championships and debuted on the Junior Grand Prix (JGP) series in September 2011, placing 9th in Gdańsk, Poland.

After taking the junior pewter medal at the 2012 U.S. Championships, they represented the United States at the 2012 Winter Youth Olympics, placing 4th.

Competing in the 2012–13 JGP series, the Parsons placed sixth in Linz, Austria before taking bronze in Zagreb, Croatia.

The Parsons obtained silver at both of their 2013–14 JGP assignments, which took place in Košice, Slovakia and Ostrava, Czech Republic.

Competing in Barcelona at their second JGP Final, the siblings took the bronze medal behind McNamara/Carpenter and Loboda/Drozd, having placed second in the short dance and fifth in the free.

At the 2016 World Junior Championships in Debrecen, Hungary they placed first in the short and second in the free, winning the silver medal behind McNamara/Carpenter.

[9] Competing in their sixth JGP season, the Parsons were awarded gold in Yokohama, Japan[10] and Dresden, Germany both times ahead of Russia's Shpilevaya/Smirnov.

In December 2016, they competed at the JGP Final in Marseille, France; ranked second in the short and first in the free, they won the title by a margin of 0.63 over Loboda/Drozd.

The siblings would cap off their undefeated season by winning the 2017 World Junior Championships; similar to the 2016–17 JGP Final, the Parsons won the event overall after placing second in the short and first in the free, earning an even narrower victory of 0.56 ahead of Loboda/Drozd.

The Parsons earned personal bests in their combined total and free dance scores on their fifth Junior Championships trip.

If I know one thing, it's that we haven't seen the last of you ❤️" After a second straight silver medal at Lake Placid's summer ice dance event, the siblings competed in three straight Challenger events, winning consecutive silver medals at the Asian Open, Nebelhorn Trophy and Nepela Trophy.

On April 2, 2019, Rachel announced on Instagram that she was retiring from figure skating following a lengthy struggle with an eating disorder.

[19] In order to limit international travel, the ISU assigned the Grand Prix based on geographic location, and Green/Parsons attended the 2020 Skate America[20] finishing in fourth place.

"[23] Green/Parsons made their Olympic season debut at the 2021 CS Autumn Classic International, winning the bronze medal.

[25] They were initially assigned to the 2021 Cup of China as their second Grand Prix, but following its cancellation, they were reassigned to the 2021 Gran Premio d'Italia.

[35] Green/Parsons entered the 2023 Four Continents Championships as contenders for the bronze medal, but after Parsons fell in the rhythm dance they placed fifth in that segment, 9.05 points back of Lajoie/Lagha in third.

[39] Receiving advice from judges there, they opted to discard their original Paula Abdul rhythm dance, switching to a medley of music from Scorpions.

"[45] Green and Parsons began the season by winning silver at the 2024 Trophée Métropole Nice Côte d'Azur.

Competing on the 2024–25 Grand Prix series, they finished fourth at the 2024 NHK Trophy and sixth at the 2024 Cup of China.