This week's investigation into Maynard's death showed that the Surrey ace had cocaine and ecstasy in his system following a collision with a train in South London.
Wright believes that the England and Wales Cricket Board's commitment to expanding their anti-doping programme is an important step in the English game.
The all-rounder said: "I've never seen a need for it before what came to light but if we can change things now I wouldn't be against it, especially if we could help one person avoid what Tom went through.
"I suppose we have to [confront the issue] with what's happened. I don't think cricket has a problem, I really don't see that, but then people were very surprised about Tom."
The ECB currently carry out 200 drug tests a season.