The 77-year-old has made his position clear, calling for greater independence and transparency within football's governing body.
"I firmly believe in an independent FIFA that serves our game with commitment, transparency and integrity," Wenger said.
His comments could be viewed as a direct challenge to Infantino, whose leadership has come under increasing scrutiny amid reported concerns over FIFA's direction and commercial plans for the FIFA World Cup.
Wenger is believed to have strong backing from UEFA, one of football's most influential confederations, as opposition to Infantino's leadership reportedly grows.
However, his age could become an obstacle. FIFA presidents are elected for four-year terms, meaning Wenger would face questions about his ability to serve a full mandate.
If he enters the race, Wenger could face competition from Infantino, former Tottenham defender Ramon Vega and Kozo Tashima, honorary president of the Japanese Football Association.