Nigeria coach Stephen Keshi said Lionel Messi "is from Jupiter" after the Argentina forward scored twice in their 3-2 win over the African nation.
The 27-year-old scored a half-volley and a free-kick as Argentina recorded a third win to finish top of Group F.
"Messi is one of heck of a player. He's blessed. You can't take it away from him," said Keshi, whose Nigeria side still qualified despite the defeat.
"There are good calibre players in the team but Messi is from Jupiter."
Keshi, whose team advanced to the last 16 of the World Cup after Iran lost to Bosnia-Hercegovina, added: "I feel honoured and happy it's going our way, I want to thank the players and the fans and some of the media."
Messi is now joint top scorer at the 2014 tournament with four goals, alongside Brazil's Neymar. Prior to Brazil 2014, he had scored just once in eight World Cup matches.
The Barcelona star paid tribute to Nigeria, who equalised twice through Ahmed Musa before Marcos Roja scored a second-half winner for the two-time champions.
"We played against a team that wanted to play," Messi said. "I think we saw a good Argentina. We need to continue on this path."
The South American side will now play Switzerland in the last 16, while Nigeria will face France