The 20-year-old netted 18 goals in 42 games for the German giants in the current season.
Per The Mirror, Arsenal are ready to make a mega bid to bring Sesko to the Premier League.
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The young, tall forward was wanted by Manchester United a year or two ago, but no deal materialized.
Now he may be brought in to spearhead the Gunners' frontline, with several fringe players set to leave.
Aaron Ramsdale, Eddie Nketiah and Reiss Nelson may all be sold to raise funds.