Yes, Arsenal has won several European tournaments in their history.

The most notable of these victories came in the 1993-94 season when Arsenal won the UEFA Cup Winners' Cup. They defeated Parma 1-0 in the final, with Alan Smith scoring the only goal of the game. This was Arsenal's first European trophy, and it came under the management of George Graham.

Arsenal also won the UEFA Europa League in the 2018-19 season. They defeated Chelsea 4-1 in the final, with goals from Olivier Giroud, Pedro, and an Alexandre Lacazette brace. This victory was particularly special as it was Arsenal's first European trophy under the management of Unai Emery.

In addition to these victories, Arsenal has also won the Inter-Cities Fairs Cup (which later became the UEFA Cup) in 1970. They defeated Anderlecht 4-3 in the final, with goals from John Radford, George Graham, and Jon Sammels.

Overall, Arsenal has won three European trophies in their history, and they have been runners-up in two other competitions. These victories have helped to cement Arsenal's status as one of the top clubs in English and European football.