But Fulham roared back to score twice in the closing stages and leave Pearson and the Foxes in rueful mood.
"Maybe the result was a bit unfair but after all that's life," said Pearson.
"We should have had a penalty in the first half and then we were done by an own goal and there was another deflection right at the end as well.
"But I'm happy that we gave it a good go and I'm not going to moan too much."