Following on from their victory at Leyton Orient last weekend, Parkinson's men enjoyed almost exclusively all the main scoring chances in the game at Northampton Town's Sixfields Stadium.
Adam Reach hit the crossbar in the second half with a header, while Aaron Mclean and Jon Stead were denied by brilliant saves from Coventry 'keeper Joe Murphy before the break.
The City chief was pleased to see the Bantams back-up the recent Orient win with another praiseworthy away display - his only complaint was that his team didn't get the win they probably deserved.
Parkinson said: "It was a good point for us but it should have been all three if your consider the number of great chances we've had in the game.
"Their 'keeper has pulled off two of the best saves I've seen all season in the first half, so there is a tinge of disappointment in the dressing room that we've not gone on to win the match.
"We've had some great opportunities in that first half, as good as we've had on our travels for quite a while.
"When they (Coventry) did have a shot just before half time and the crowd sarcastically cheered, I think that summed it up because they had hardly been in our half before then.
"When you've had those chances and not taken them though, it is then important that you don't get caught out at the other end and end up getting beat.
"They didn't have too much to do, but I thought our defence were faultless tonight (Tuesday). They kept their concentration, which was key because if you can't get all three points from a game, you have to make sure you get one.
"The front two (Jon Stead and Aaron Mclean) linked up well and looked a good partnership, and the midfield partnership of (Matthew) Dolan and (Gary) Jones looked good tonight also. Dolan showed good quality on the ball again and he seems to be getting stronger with every match.
"We've played some good football tonight - there's a lot of good aspects to take out.
"When the lads do well, they deserve some praise, and they have been excellent the last two games."
The draw at Coventry ensures City maintain their mid-table position in the League 1 standings with only six games of the campaign left to play.
Despite the Bantams' current twelfth-placed position in the table as the season enters its final few weeks, Parkinson know his squad cannot take their foot off the gas.
Parkinson added: "We're nine points clear of the bottom four, who knows what the points tally will be though.
"As I said to the boys before the game, the minute we sit back and we think we've cracked it, we'll soon be back concerned about our league position.
"We can't let that happen. There was certainly no evidence of that tonight, and we have to make sure that is the same on Saturday (vs Oldham Athletic)."