After a goalless 120 minutes, Rodak became the hero of the match when he saved Alan Browne's penalty, and when teammate Matt Doherty hit the crossbar Slovakia were through.
The match, played behind closed doors at Sammy Ofer Stadium in the northern city of Haifa, saw a strong start by the visitors, who missed several opportunities early.
"At the current stage, I put 70 percent in turning to a coach, with the remainder still playing on the court."
The 54th-ranked 19-year-old, who did not drop a set throughout the two-week tournament, also became the lowest-ranked French Open female winner since the WTA computer rankings began in 1975.
The decision, which is aimed at cutting spending, was announced after Beijing 2022 organizers reached a consensus with the International Olympic Committee (IOC) and the Olympic Broadcasting Services (OBS).
Added to this the fact that the race was run in much colder conditions than usual, and that both of Friday's practise sessions had been washed out, there was an air of uncertainty for teams and drivers as they began the race.
Elsewhere Arsenal have decided to leave Mesut Ozil out of their 25-man squad for the Europa League, which means the German, who still has a year left on his contract, has played his last game for the club. Enditem
The other semifinal of women's singles will see Poland's history-maker Iga Swiatek face Argentine qualifier Nadia Podoroska. Enditem
Tianjin's Zhao Fangxin wasted three free throws to tie the game when they trailed at 76-79 in overtime.
The games between the two clubs are thought the most balanced derby in Slovak basketball premiership. The previous five match-ups of these teams were also ended with no more than a 5-point difference. Enditem
The 18-year-old Chang defeated Irish teenager Aaron Hill 4-2 in the first round.