[3] On 6 January 2011, Kucka signed a four-and-a-half-year contract for €3.55 million transfer fee with Genoa, later extended one more year to 30 June 2016.

[citation needed] Kucka proved immediately to fit fine in the squad, showing a remarkable physical strength and good technical skills, resulting the second best player of Genoa.

He made his league debut on 29 August 2015 in a 2–1 home victory against Empoli,[9] and scored his first Milan goal on 9 January 2016 to equalize against AS Roma in a 1–1 draw.

Parma had managed to upset Juventus away, who was on top of the league table, by coming back from a two-goal margin twice to tie the game 3–3.

[19] Following Watford's relegation from the Premier League,[20] Kucka signed a two-year contract with reigning Slovak champions of the past four seasons Slovan Bratislava, where he was coached by Vladimír Weiss under whom Kucka debuted in the Slovak national team and participated in 2010 FIFA World Cup.

[23] A former Slovakia under-21 player, Kucka made his senior international debut in a friendly match against Liechtenstein on 19 November 2008, replacing Branislav Obžera in the 53rd minute.

[25] Slovakia manager Vladimír Weiss called him up for the 2010 World Cup despite the fact that Kucka had not played in any qualification matches.