West Ham United's Andriy Yarmolenko (14) and Manchester City's Oleksandr Zinchenko (68) scored for Ukraine, whereas Benfica's Haris Seferovic (41) scored for Switzerland, according to Ukrinform.
In another Group 4 game in League A, Germany played out a 1-1 draw with Spain in Stuttgart.
Ukraine will play its next Nations League match against Spain in Madrid on September 6. Switzerland will take on Germany in Basel.
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