Slavia, Spartak Primarily a centre-back capable of performing defensive midfield roles, Suchý featured in Slavia"s senior team since 2005. Although he was linked with Rangers as well as other teams in England, France and Germany in summer 2008, he stayed at Slavia. On 24 November 2009, he was loaned out to Football Club Spartak Moscow for one year with an option to buy for €3,5 Million.
Later Spartak used buying option.
Basel In January 2014, Suchý was loaned out to Swiss outfit Football Club Basel for the second half of the 2013-2014 Swiss Super League season, again with a buying option at the end of that period. They also reached the final of the 2013-2014 Swiss Cup, but were beaten 2–0 by Zürich after extra time.
Basel had qualified for Europa League knockout phase and here they advanced as far as the quarter-finals. Basel bought out his contract after the end of the loan.
The season 2014-2015 was a very successful one for Basel.
But for the third season in a row, they finished as runners-up, losing 0–3 to Football Club Sion in the final. Basel entered the Champions League in the group stage and reached the knockout phase as on 9 December 2014 they managed a 1–1 draw at Anfield against Liverpool. But then Basel then lost to Porto in the Round of 16.
Basel played a total of 65 matches (36 Swiss League fixtures, 6 Swiss Cup, 8 Champions League and 15 test matches).
Under trainer Paulo Sousa Suchý totaled 48 appearances, 30 League, 4 Cup, 7 Champions League, as well 11 in test games. He scored 3 goals in these matches 1 of which was in the Super League.
Basel Swiss Super League: 2013-2014, 2014-2015 Swiss Cup runner up: 2013-2014, 2014-2015.