In 2001 that wish was fulfilled as Jan won a ŠKODA Octavia Cup. That was the year Kopecký first took part in rallying as he took part in the Czech Rally Championship (MČR).
His performances caught the eye of ŠKODA Motorsport and in 2004 he joined the team and drove the FABIA WRC to the Czech championship title. Between 2006 and 2008 he was forced to self-finance again, after ŠKODA works team temporarily withdrew from rallying. But his performances in that period were enough to convince ŠKODA to ask him back to drive the FABIA S2000 when they reentered the sport.
This saw the start of a highly successful period in his career. In the four years that followed, Kopecký claimed the Czech Championship again in 2012 and the FIA European Rally Championship (ERC) title the following year.
He also finished runner-up in the Intercontinental Rally Challenge (IRC) in four consecutive years between 2009 and 2012. In 2014, four victories saw Kopecký win the FIA Asia-Pacific Rally Championship (APRC).
In 2015 ŠKODA introduced the new FABIA R5 and Kopecký led the new car to five consecutive victories to clinch the Czech Rally Championship again. He also won the WRC2 category at the Rallye Deutschland.
In 2016 Kopecký retained his Czech title in similarly dominant style, while another WRC2 event win, this time at the RallyRACC Catalunya - Costa Daurada, along with three runner-up spots, saw him finish fourth in the overall WRC2 standings.
He is once again competing in the WRC2 and Czech championships and he is looking to add more victories and titles in 2017.