Roach, who has been sidelined since early November, when he was forced to return from the Indian tour, will continue his rehabilitation in Barbados, reports CMC.
"I'm feeling quite fine at the moment," Roach said.
"The surgery was successful, so I know I have to get my rest, and start my rehab. When the time is right, I will look to make a comeback to the playing field."
Roach, the West Indies' most successful fast bowler in the Test cricket in the last two years, says he is confident of making a successful return to the international stage.
"It's my bowling arm, so I'm fully aware that it will take some time before I get back out there," he said.
"When I come back, I want to make sure I'm full ready so I can continue to get a bag of wickets for the West Indies."
Roach has taken 85 wickets in 23 Test matches at an average of 27.71, and 94 wickets in 61 One-Day Internationals (ODI) at an average of 26.77.
The 25-year-old is presently at No.14 in the ICC Test Match Bowling Rankings and at No.16 in the ICC ODI Bowling Rankings, and is looking to break into the top 10 after his return.
"I have a progress, and recovery plan mapped out, and I will follow it," he said.
"My short-term goal is to break into the top 10 in Test bowling, and also look to help push the West Indies back to the top in all formats."