The Bayern Munich forward thinks that his team will need to keep a close check on the Arsenal striker, while naming Oranje among the favourites for the European title
The Arsenal attacker had a frustrating afternoon on Saturday as he missed several chances in Netherlands' 1-0 defeat against Denmark, but the 22-year-old still feels that the Dutchman can cause his side all sorts of problems.
"Netherlands have a good all-round team with top players in each position," Muller told De Telegraaf. "We will work hard to limit their action.
"Van Persie, for example. had a great season at Arsenal. Controlling him will be a difficult task."
Oranje's preparations for Wednesday's match have been disrupted by reports of a dressing-room revolt led by vice-captain Rafael van der Vaart, but Muller is refusing to take anything for granted going into the match.
"Netherlands and Spain are strong teams and have done well in recent years," he noted. "For me, they were one one of the favourites to win the tournament.
"They had a bad start, but they remain a dangerous team."
Germany share the top place in Group B with Denmark after defeating Portugal 1-0 in their match.