The former Liverpool striker has made the decision to hang up his boots and call time on his career with the Ukraine national team
The 32-year-old failed to score in Ukraine's brief tournament appearance, which saw Oleg Blokhin's men finish last in Group D despite playing in front of their fans.
"I am leaving the Ukraine team. I took the decision in advance," Voronin told Sport.ua.
"I have chosen to focus on a club career because I am not young enough to combine both roles."
Voronin has scored eight goals in 78 international appearances for his country.