"At the end, we got over the line and that's what matters," Pollard, who was standing in for an injured Dwayne Bravo, told reporters after the match in which West Indies made heavy weather of a 230-run chase.
"In the recent past, West Indies teams would have capitulated completely, so it shows we have a bit of fight and character in this side," he said.
"We are West Indian cricketers. We attack. If we get into our shell, we get out. That's how we play cricket and it has worked for us. At the end of the day you have to back yourself," he said.
"We have to be happy for victories. We cannot say we are not feeling so good because No. 10 (sic.9) and 11 got us over the line. They are batsmen in the team as well," he added.
More From This Section
But Pollard also pointed out the areas on which the team needs to work to ensure smoother wins.
"As middle-order batsmen, we just have to take it upon ourselves and finish it for the team rather than letting No.10 and 11 (win the match)," he explained.
Asked if he felt any pressure while leading the side, Pollard said stress only built on as the game progressed.
"At the start of the game, there wasn't any pressure. It came later on when we were trying to win the game," Pollard said.
"We have experienced guys in the side, who have captained West Indies before, who have played all over the world and their knowledge was always going to help me go about the task of trying to lead West Indies," he added.