It was a hard-fought 0-0 draw at Bramall Lane on Friday as the Owls came away with a point despite being down to 10 men for the last 25 minutes after Glenn Loovens was sent off.
In the circumstances, Luhukay was pleased with the outcome and believes it is something to build on.
He said: “I enjoyed it, I am very happy to be here. The game was very hard but I must give my team a compliment and I have respect for the fight they gave me for 90 minutes.
“The last 25 minutes was not so easy but the team were good after the red card, they did a very good job. At the end we had two good chances and we could have won it – the goalkeeper had fantastic reflexes.
“It was the first match for me as manager of Wednesday and I am happy we can get a draw, it’s the first step to get to a better situation for the team.”
Cardiff remain unhappy with Derby's decision to postpone Sunday's Sky Bet Championship game at Pride Park.
Dundee United boss Csaba Laszlo has been left hoping for St Mirren to slip up in the race to seal promotion to the Ladbrokes Premiership.
Crewe will consider starting Chris Dagnall when they host Forest Green on Tuesday.