According to Calcio Insider, the 22-year-old has told the Bundesliga club that his dream is to play in the Premier League.
The centre-back, who played every league game for Stuttgart this season, is also being monitored by Borussia Dortmund, Marseille and Napoli.
Dortmund are thought to have held talks with Pavard’s agent, but with his preferred destination being England the Gunners are in pole position to secure his services.
Tottenham Hotspur and Liverpool have also scouted Pavard over the past few months, although neither club are expected to follow up with a bid.