Vickers had been on trial with the Welsh club since the start of July and Swansea have now confirmed he has signed a two-year deal at the Liberty Stadium.
The 19-year-old, who played in Swansea's pre-season friendly against 1860 Munich in Germany last month, spent 12 years at Arsenal and links up again with his former goalkeeping coach Tony Roberts and first-choice keeper Lukasz Fabianski.
"Tony called and asked if I would come in on trial," Vickers told the official club website.
"I know how much knowledge he has of the game, I have worked with him the last four years and I couldn't turn down the opportunity.
"My aim here is to push on
I hope to be training with the first team most days and to feature for the Under-21s doing the best I can, and I think there is a chance for me to grow and develop here."
Vickers becomes the second goalkeeper to sign for Swansea in as many days as Gerhard Tremmel returned to the Liberty on a two-year deal after his contract ended earlier in the summer.
Source : PA
Source: PA