Primarily a centre-back capable of performing defensive midfield roles, Suchý featured in Slavia's senior team since 2005.

[4][5] He joined Basel's first team during the winter break of their 2013–14 season under head coach Murat Yakin.

Suchý played his debut for Basel on 2 February 2014 in the 3–1 away win at the Stade Olympique de la Pontaise against Lausanne-Sport.

[6] Just three days later, on 5 February 2014, he scored his first goal for his new team in the Swiss Cup quarter-final match as Basel won 6–1 against Le Mont.

[7] He scored his first league goal for his new club in the home game in the St. Jakob-Park on 16 March as Basel won 1–0 against Aarau.

Suchý scored his first Champions League goal for his team in the home game in the St. Jakob-Park on 4 November.

[12] In the 2014–15 Swiss Cup Basel reached the final, but for the third consecutive season they finished the competition as runners-up, losing 0–3 against Sion.

[16] Under head coach Fischer, Suchý won a third consecutive Swiss championship at the end of the 2015–16 Super League season[17] At the end of Basel's 2016–17 season, Suchý won the championship with the club for the fourth consecutive time.

In the domestic league Basel ended the season in second position and in the Cup they reached the semi-final only to be defeated by Young Boys.

They advanced to the round of 16 but, despite an away win in the Etihad Stadium, Basel were knocked out of the competition by Manchester City 5–2 on aggregate.

Basel ended the league season in second position, with a massiv 20 points residue behind champions Young Boys.

At the end of the season the club announced that Suchý had decided not to extend his contract and he left Basel to start a new challenge elsewhere.