The Frenchman is out of contract this summer and is under increased pressure following the side's devastating 5-1 defeat at Bayern Munich in the Champions League earlier this week.
Speaking to reporters today, Wenger revealed that he will make a decision on his future at the Emirates in March or April, but insisted that he will continue to work as a manager next season.
Barcelona are thought to be hunting for a replacement for Luis Enrique this summer and, according to The Mirror, Wenger's comments today have alerted them as to his potential availability.
The newspaper also claims that Real Madrid attempted and failed to recruit him last summer, having failed twice previously, while Ligue 1 champions Paris Saint-Germain also have him on their radar as a potential replacement for Unai Emery.
Wenger is Arsenal's most successful ever manager, winning three Premier League titles, six FA Cups and six Community Shields during his 21 years in charge.