The Oranje coach was under pressure prior to the game, but his side continued their recent success over Vicente Del Bosque's side to give him breathing space.
The Spurs winger struck 11 minutes from the end after Graziano Pelle had opened the scoring with a glancing header in the first half.
The South American duo played together at Barcelona and were back on the same pitch when Brazil beat Chile in London at the weekend.
The left-back was the unlikely match-winner as his strike on 63 minutes proved to be the difference between the two sides.
Joachim Low's men struggled to break down the stubborn hosts for the first third of the match, but after a quick-fire double before half-time the visitors cruised to a win.
The Barcelona star was left on the bench after missing training on Thursday but the Albiceleste were still comfortable winners on Saturday.
The striker scooped the ball over the goalkeeper in the opening half to net his first international goal and secure the three points for Vicente del Bosque's men.