But referee Mark Clattenburg saw differently and penalised the Trotters striker for a push on defender Brede Hangeland that few other observers saw.
Davies is renowned for his physicality and Jaaskelainen fears that is counting against him, particularly with Clattenburg, who has booked the forward four times this season alone.
Jaaskelainen said: "I was extremely disappointed to see Davo's goal disallowed.
"The referee said he had put two hands on the defender but his hands were down when he headed the ball.
"I think the referee has a history with him, if you look at his last few games.
"It's one of those things that goes against you but if we keep going as we are, especially the way we played in the second half, then we will get three points more often than not."
The result left Bolton just a point above the relegation zone as Hull and Burnley both leapt above them after scoring vital wins.
Jaaskelainen could at least take consolation from a clean sheet, only the team's second in 25 games.
The Finn also feels performances are improving under new boss Owen Coyle despite winning just once in five Premier League games since he took charge.
The 34-year-old said: "The pleasing thing for me was the clean sheet. We defended well as a team, especially in the second half.
"We had been dropping too deep but the gaffer said at half-time to keep a higher line and I don't think in the second half they had a kick towards our goal.
"You can see the work we have put in. That has never been a problem, but I think you can see that the midfield players go more with the runners now and we get much tighter to our markers.
"You can see that because we are getting clean sheets.
"These are the standards we are setting under the new gaffer, and we have to keep them up."
Bolton would have warranted all three points having created the better chances in a largely uneventful contest.
Mark Davies had a shot diverted on to the bar by goalkeeper Mark Schwarzer on the stroke of half-time and Johan Elmander shot wide when well placed three minutes from time.
Fulham, who only arrested a run of five successive defeats by beating Portsmouth in midweek, were happy to take a point having travelled with a depleted squad.
Zoltan Gera and Simon Davies failed to prove their fitness and, just days after striker Andrew Johnson was ruled out for the season, top scorer Bobby Zamora succumbed to illness.
That left the unheralded pairing of Erik Nevland and David Elm up front and the Cottagers did lack a cutting edge.
With Kagisho Dikgacoi also limping off injured in the second half, manager Roy Hodgson has little time to patch up his side before Tuesday's clash against Burnley.
Having collected just five points since Christmas, the Londoners are now facing a huge test of their resolve with six more games to come this month including cup ties against Notts County and Shakhtar Donetsk.
Hodgson said: "It is a difficult time and it is going to remain a difficult time.
"What we are going to be doing is trying to work hard and shore up things as best we can in the hope that come March or April some of these players will be returning and we might look stronger.
"We are victims of our own success. We are still in the FA Cup and the Europa League.
"And we had another game against Portsmouth because of the bad weather.
"We are facing nine games in four-and-a-half weeks.
"I know Manchester United, Chelsea and Arsenal have done this many times and their managers will be smiling at my reticence to play so many games.
"But quite frankly we don't really have the squad of those teams and it pushes us more to the limit than them."
Man. City 2/5, Draw 10/3, Bolton 8/1