Barazite has featured in several pre-season games with Arsenal, scoring once in a 2-1 win over Barnet.
"He is an exciting prospect and a very good footballer," boss Paul Jewell told the club's website.
He continued: "I am quite keen to get a link-up with some top teams and I spoke to [Arsenal boss] Arsene Wenger over the summer about a few players.
"Nacer is young but has played in their first-team and he will come here to join up with our first-team squad."