Reports state that Weah "showed glimpses of the class that made him a household name around the world" and that he received a standing ovation when he was substituted at the 79th minute.
Wenger, who left Arsenal last year, spotted Weah's talent while Monaco manager all of 30 years ago and brought him the principality in 1998.
Later on Tuesday Weah's son, Timothy, also played in an worldwide friendly.More news: New York Democrats decide governor, attorney general races
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Former AC Milan player George Weah in Switzerland in 2014.
Weah's popularity from his playing career saw him secure a landslide win last December in Liberia's presidential elections.
Nigeria on the other hand fielded a respectable team for the friendly.
Stoke midfielder Oghenekaro Etebo and Leicester duo Wilfried Ndidi and Kelechi Iheanacho, who all featured at this summer's World Cup in Russian Federation, played a part in the fixture as the Super Eagles looked set for a routine victory at the Samuel Kanyon Doe Stadium.
In the encounter, two Nigerians scored their first worldwide goals - Henry Onyekuru and Simeon Nwankwo - and a third - John Ogu - was named captain for the first time - a tremendous occasion for the trio - but sadly, they recorded the feat against a 51-year-old retired footballer turned Politician. Henry Onyekuru, an Everton player on loan at Galatasaray, was the one to put Nigeria ahead.