The 28-year-old scored 31 goals in 82 appearances for the Addicks, helping to fire them to the Championship from League One, before opportunities dried up and he went out on loan to Brentford where he ultimately failed to repeat the feat as the Bees narrowly missed out on promotion.
If he gains clearance, this will be Wright-Phillips' first experience of football outside England and he will join former Valley team-mate Ruben Bover-Izquierdo and another ex-Charlton man in Lloyd Sam at the Northeast US club.
“Since Bradley’s potential was first recognized by Manchester City and the England’s Under-20 side, he has proved to be a goal scorer of note, whether playing up front or as a winger. We are delighted to sign him,” said Red Bulls sporting director Andy Roxburgh.
“He will certainly add another dimension to our roster with his pace and technical ability.”