[5][6] Rinderknech made his Grand Slam main draw debut as a wildcard at the 2018 French Open in doubles partnering Florian Lakat.

In his debut on the ATP Tour in March, Rinderknech qualified for the main draw of the 2021 Open 13 in Marseille, France, where he reached the quarterfinals, beating Alejandro Davidovich Fokina, before losing to fellow countryman Ugo Humbert.

In the first round he lost in only the second 12 games all singles supertiebreak since that rule began two years previously against Oscar Otte 6–4, 3–6, 2–6, 7–6(5), 12–13(2),[10] the other match being the Federer-Djokovic 2019 final.

[11][12] In July, he reached the quarterfinals as a qualifier at the 2021 Swedish Open in Båstad defeating 4th seed John Millman.

[13] The following week, he reached the semifinals for the first time in his career at the Kitzbühel Open, losing to eventual winner Casper Ruud.

[17][18] At the 2021 Moselle Open he reached his first ATP final in his career partnering Hugo Nys where they were defeated by Hubert Hurkacz and Jan Zieliński from Poland.

Following a quarterfinal appearance at the 2021 Stockholm Open where he lost to defending champion, 3rd seed Denis Shapovalov, he made his debut in the top 60 at World No.

At the Adelaide International 2, he defeated 3rd seed and runner-up of the first tournament, Karen Khachanov, in the quarterfinals,[22] and qualifier and compatriot, Corentin Moutet, in the semifinals to reach his first final on the ATP Tour.

[23] In the final, he pushed Australian wildcard, Thanasi Kokkinakis, to three sets, but he ended up losing the match.

[25] He was set to play 24th seed, Dan Evans, in the second round, but he withdrew due to a wrist injury.

[32] Seeded third at the Arizona Classic, an ATP Challenger tournament in Phoenix, he was defeated in the second round by Liam Broady.

[33] At the Miami Open, he recorded his first win at the Masters 1000 level against Laslo Djere but lost in the second round to eighth seed, world No.

[34] Starting his clay-court season at the Monte-Carlo Masters, Rinderknech was eliminated in the first round by 2019 champion Fabio Fognini.

At the 2022 Tel Aviv Open he also reached the quarterfinals defeating third seed Diego Schwartzman but lost to Roman Safiullin for the second time in the season.

[44] At the 2022 Swiss Indoors he defeated fourth seed Marin Čilić in the first round after qualifying for the main draw.

[51] France didn't qualify for the knockout stage; they ended second in Group F. Last year finalist at the Adelaide International 2, he was defeated in the first round by Marc-Andrea Hüsler.

[53] In February, Rinderknech reached the second round at the Open Sud de France in Montpellier, losing to third seed and world No.

As the top seed at the Teréga Open Pau–Pyrénées, he reached the semifinals where he was defeated by compatriot, Luca Van Assche, who ended up winning the tournament.

Rinderknech reached his first quarterfinal for the season in Marseille as an alternate, defeating Maxime Cressy and eight seed Jiri Lehecka in straight sets.

[58] He reached the third round of a Masters at the 2024 National Bank Open in Montreal as a qualifier, with main draw wins over compatriot Adrian Mannarino and Flavio Cobolli.