The game at Portman Road was Rovers' first taste of second-tier league football since May 2001 and Kean is happy with how his team were able to adjust to their new surroundings.
"Our fans travelled in numbers and saw a spirited, organised and athletic performance," he said. "We feel we've got a really good, competitive squad and that we're good enough to bounce back at the first attempt.
"This is the first point on the board at a difficult venue, so I've got to be pleased. Ipswich are well organised and not too many teams will come here and get three points, so I must give them credit because I thought they were excellent.
"But we're a bit disappointed not to hold on for the win, after dominating for the first hour and getting our noses in front."
Next up for Blackburn is a home match with Hull City on Wednesday.