Best scored in the 43rd minute to put City ahead but Chris Coleman's side were pegged back.
"Obviously I'm delighted to have gotten the goal but to be honest I felt a bit upset for the defenders because I thought they were outstanding the whole game," said Best to the club website.
"We're disappointed to be coming away with just one point when we were so close to three but I think that's a good sign because it shows we are developing that winning mentality.
"Burnley are a good team with good players and while we're going back disappointed with a point, had the tables been turned we would have probably been happy with a point because of the kind of team Burnley are.
"But I thought we played well and deserved three points even if we just got one. We seem to be playing the higher placed teams in the Championship and doing quite well so we will see how we get on against Birmingham."
Copy-righted pictures from the game can be seen by clicking on http://www.coventrycity-mad.co.uk/ and then clicking on the photo gallety.