Huesca desperately needed a win to keep up their slim hopes of avoiding relegation but they struggled to make much of an impact and stay rooted to the bottom of the standings with 25 points from 32 games.
The 12th-minute opener gave Barca their first Champions League victory away to United following two draws and two defeats previously.
But Solskjaer, who scored the victor when United won the Champions League at Camp Nou in 1999, believes Barca's prestigious European history makes beating the Spanish champion a different prospect to PSG.
Kean opened for the scoring for the visitors when the 19-year-old stuck his foot out to direct a Juan Cuadrado effort into goal after half an hour in Ferrara. We respect them as a team, and the history they have behind them.
"Of course it's hard, but if you want to be a top team you have to play big Champions League games, and the weekend after it's the Premier League", De Gea said.
They suffered a humiliating exit a year ago by losing 3-0 at AS Roma and coach Valverde came in for serious criticism for not resting players in their game with Leganes three days before their collapse in Italy.
"He is fine", said Valverde at a press conference on Tuesday.
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"But we know we are playing against probably the favourites and going there will be a challenge".
"I think a little bit of both".
"Obviously, we always want to win but this game came in special circumstances for us".
Kevin-Prince Boateng shot over as Barcelona began to take control, but clear chances were few and far between in the opening half-hour.
The second leg will be on April 16 where Ole Gunnar Solskjaer's side know they will have to score to cancel out Barcelona's away goal.
Barcelona's Malcom went closest to a goal when he struck the upright in the 57th.