The Oranje secured a 3-0 victory over the tournament hosts on Saturday in Brasilia, with Robin van Persie and Daley Blind both scoring within the first 20 minutes before Wijnaldum grabbed another late on.
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"We wanted to make the best of this match," the 23-year-old told NOS.
"Although it was difficult to focus on this match after the disappointment against Argentina, in the end, we wanted to go for it. We wanted to win that third place.
"It was nice that we could keep our heads up after the disappointment against Argentina. We did well to not let ourselves lose concentration."
The Dutch were hoping to make their second final in consecutive World Cups, after losing 1-0 to Spain in the 2010 showpiece in South Africa, and Wijnaldum stressed that third place would go some way to making up for their inability to do so.
"Of course, we wanted to play that final against Germany," he added.
"But we said to ourselves that now the only thing we could do is secure that third place. Luckily, we made it."