2019: Grand Slam debut and win, Junior Grand Slam Final

In the junior tour, Kodat had reached the finals of the 2019 French Open where he ultimately lost in the final to Holger Rune. In August 2019, Kodat and his partner Martin Damm won the USTA Boys 18s National Championships doubles title, earning the pair a wild-card entry into the doubles main draw of the 2019 US Open. Kodat and fellow American Damm became the youngest men's doubles team to win a US Open match in the Open Era.

2020: First ITF final

Kodat lost his first ITF final at an M15 event in Cairo to Juan Bautista Torres.

2021: First ITF title, ATP debut, Challenger debut

Kodat began the year by capturing his first M15 ITF title in Antalya defeating Maxime Hamou.

At the 2021 Miami Open, Kodat received a wildcard into the qualifying draw but lost to Thiago Seyboth Wild in straight sets.

In August, Kodat received a wildcard into the main draw of the Prague Challenger 50 but lost in straight sets in the first round.

2023: Top 400 and First Challenger Final

In February 2023, Kodat qualified for the ATP Challenger 75 in Rome, Georgia. He defeated Enzo Couacaud 6-4, 6-3 in the first round of main draw. In the second round, Kodat defeated Sho Shimabukuro to reach the quarterfinals. In the quarterfinals he lost in 3 sets to Seong Chan Hong.

In April, Kodat gained a wild-card into the ATP Sarasota Challenger 125 and in the first round defeated Rio Noguchi 6-3, 1-6, 7-5 to advance to the round of 16.

In July, Kodat qualified for the ATP Challenger 75 in Liberec, Czech Republic. He defeated Timo Stodder 3-6, 6-3, 6-3 in the first round of main draw. In the second round, Kodat defeated in straight sets former top 100 player and the 6 seed Norbert Gombos 6-4, 6-3. In the quarterfinals, Kodat defeated Federico Agustín Gómez 6-1, 6-0 to reach his first ever challenger semifinal. In the semifinal, Kodat faced Gerard Campana Lee whom he defeated 6-1, 7-5. In the final, Kodat lost 6-2, 6-4 to Francisco Comesana.

In the first week of August, Kodat entered the ATP Challenger 100 in Banja Luka as a special exempt due to advancing to the final in Liberec the prior week. In the first round, Kodat faced Ugo Blanchet who also entered as a special exempt. Kodat defeated Blachet 6-4, 6-3. In the second round, Kodat faced Eric Vanshelboim whom he defeated 7-5, 6-1 to reach the quarterfinals.

Singles: 1 (1 runner-up)

Outcome	Year	Championship	Surface	Opponent	Score
Loss	2019	French Open	Clay	Holger Vitus Nødskov Rune	3–6, 7–6(7–5), 0–6

Singles: 3 (1–2)

Result	W–L	Date	Tournament	Tier	Surface	Opponent	Score
Loss	0–1	Dec 2020	M15 Cairo, Egypt	World Tennis Tour	Clay	Juan Bautista Torres	3–6, 3–6
Win	1–1	Jan 2021	M15 Antalya, Turkey	World Tennis Tour	Clay	Maxime Hamou	6–4, 6–2
Loss	1–2	Jul 2023	Liberec, Czech Republic	Challenger	Clay	Francisco Comesaña	2–6, 4–6

Doubles: 7 (4–3)

Outcome	W–L	Date	Tournament	Tier	Surface	Partner	Opponent	Score
Win	1–0	Feb 2020	M25 Naples, USA	World Tennis Tour	Clay	Martin Damm Jr	Nicolás Barrientos Cristian Rodríguez	4–6, 6–4, [10–7]
Loss	1–1	Oct 2020	M25 Pardubice, Czech Republic	World Tennis Tour	Clay	Christian Harrison	Martín Cuevas Agustín Velotti	6–3, 3–6, [6–10]
Win	2–1	May 2021	M15 Antalya, Turkey	World Tennis Tour	Clay	Timo Stodder	Mariano Navone Miguel Fernando Pereira	6–4, 6–4
Win	3–1	Aug 2021	M15 Říčany, Czech Republic	World Tennis Tour	Clay	Adam Pavlásek	Alexander Donski Colin Sinclair	6–3, 7–5
Win	4–1	Aug 2022	M15 Kottingbrunn, Austria	World Tennis Tour	Clay	Milos Karol	Francesco Ferrari Alessio Zanotti	7–6(7–3), 7–5
Loss	4–2	Sep 2022	M25 Pardubice, Czech Republic	World Tennis Tour	Clay	Miloš Karol	Matyáš Černý Dominik Recek	4–6, 2–6
Loss	4–3	Jul 2023	M25 Kramsach, Austria	World Tennis Tour	Clay	Anton Matusevich	Peter Heller Kai Wehnelt	4–6, 4–6