Robben put his country on the way to a 5-0 victory with the first goal of the Group A encounter in Rotterdam, taking his tally to 33 and pulling up alongside Cruyff in their nation's all-time goalscoring chart.
The win leaves Dick Advocaat's men third in the group, three points behind joint-leaders Sweden and France following the Swedes' unexpected 2-1 win over the UEFA EURO 2016 runners-up in Stockholm.
"I had been hoping for Sweden to lose," Robben said following his and his country's last competitive game of the season. "But you can turn it round into something positive: it means we can win the group too. Anyway, we now have to be very good after the summer."
Robben, 33, contributed 13 goals and nine assists to Bayern's Bundesliga triumph in Carlo Ancelotti's first season in charge at the Allianz Arena, and was rewarded for his excellent displays with a one-year contract extension through to 2018.