Burnett this week took charge until the end of the season following Still's decision to end his nine-year reign and take up the managerial vacancy at non-league Luton.
And he watched the Daggers pick up a creditable point at Valley Parade on Wednesday against a Bradford side fresh from their Capital One Cup final hammering at the hands of Swansea.
It could have been all three but for James Hanson's late equaliser which cancelled out Luke Howell's 69th-minute goal, coming after Sam Williams had missed a penalty
Burnett said: "Bradford had large chunks of the game and probably the better chances but we defended excellently. Our two centre-backs and full-backs were fantastic.
"This is not an easy place to come. I am delighted with the performance and the players' work-rate. It's difficult when a manager leaves, especially someone like John Still who has left a legacy at this club.
"I said 'let's carry that on, nothing needs to change. Let's go out and express ourselves, try to be creative and play with no fear'. At times we did just that."