The Caribbean side sealed a 1-0 win the two-match series after the second game was drawn in Antigua in a high-scoring affair.
The hard work though was done in the first Test when the Windies cantered to an innings and 217-run victory after putting on a mammoth 629-9 after batting once.
The series victory is a first for West Indies in 11 attempts, the last in 2023, and Chase wants his team to build on this for the future with a series against Pakistan to come.
"I think this is a stepping stone for us going forward," Chase said. "Especially, we sit down and we plan for this Test Championship and we said last year it was going to be tough and it was tough.
"But we said this year we think that the two series at home especially, these are series that we'll be looking to dominate and to win. So I just want the guys to continue from this and let this be a stepping stone, as I said.
"And not just leave it there and think, 'oh, we won one series and that's enough'. I think we need to just have that consistency. I think winning games consistently, that would be great for us in terms of growth and going forward as a cricket nation.
"This is the first series that I really had an outstanding performance. I've been trying for the last series and stuff but to go and actually lead from the front, it feels great.
"So yeah, I just want to congratulate the guys for helping me to achieve this as the leader of the team."
West Indies' next Test assignment is another two-match series, against Pakistan at home in July-August.
Kemar Roach became just the fifth West Indies bowler to reach the milestone of 300 Test wickets as the Caribbean side thrashed Sri Lanka by an innings and 217 runs in the first Test in Antigua.
West Indies have recalled wicketkeeper Joshua Da Silva and top-order batter Amir Jangoo to their squad for the upcoming two-match Test series at home against Sri Lanka.
Shimron Hetmyer has been "reintegrated" into West Indies' ODI squad ahead of the home series against Sri Lanka, starting on Wednesday, while fast bowler Alzarri Joseph also returns from injury.
Cricket West Indies unveiled an exciting schedule for the 2026 Men's International Home Series, setting the stage for an electrifying summer of cricket across the Caribbean.
