Gayle has moved to Selhurst Park for an initial fee of £4.5m which could rise to £8.5m, and Holloway is delighted to secure the signature of the 22-year-old.
The 50-year-old told Sky Sports News: "I'm absolutely delighted. I was very annoyed when we didn't get him last year, to be honest.
"But now it makes a huge statement for us and it proves that I don't care where I get my people from. I believe it's about how good you're going to be, not just how good you are already.
"He's got an opportunity now to go and enjoy his football and I think he'll score goals at Premier League level, I really do. He's born to score goals."
The former Dagenham & Redbridge player scored 13 goals in 29 appearances at London Road last season.