The Gunners are set to speed up their pursuit of Club Brugge striker Christos Tzolis following Trossard’s departure.
BBC Sport reported the Gunners’ interest in the Greece international in June and the club are now ready to move for the striker.
Club Brugge is awaiting an offer from Arsenal for Tsolis.
Sporting director Andrea Berta is working on the deal after his assistant Maurizio Micheli watched the 24-year-old play for Greece against Sweden last month.
Tsolis could be available for around £30 million (€35 million).
Any move he makes will depend on Arsenal’s interest in signing more big-name strikers this summer.
They retain a long-term interest in Atletico Madrid’s Julián Alvarez, who is the club’s priority target, but it remains to be seen whether a deal for the Argentine international, with Barcelona and Real Madrid also interested, is possible this summer.
Morgan Rodgers is Arsenal’s preferred option in their search for a versatile striker as the club’s efforts to sign the Aston Villa striker will intensify after his World Cup stint with England ends.
Paris Saint-Germain winger Bradley Barcola is being considered as an alternative if an agreement cannot be reached with Aston Villa, who reportedly value Rodgers at £130m.
Meanwhile, Arsenal recruiter Micheli watched Georgia Under-21 international Andria Bartishvili play for Iberia 1999 against Flora in a Champions League qualifier last Wednesday, with sources saying the Gunners are stepping up their efforts to bring in the teenage striker.