When asked if he wanted to continue in his role as manager of the side, Solskjaer told Sky Sports News: "Definitely. I am the manager of Cardiff City football club and I am not going to lay down and feel sorry for myself.
"We will go into the next game showing professional pride and put in a good performance and then we will plan for next season.
"It was an important game and we performed well enough but we just didn't take the chances."
Solskjaer took over at Cardiff midway through the season following Malky Mackay's sacking.