The Ghanaian midfielder hailed his side's fighting spirit against the Spanish giants, whom he described as the strongest team in the game today
Xavi's goal near the hour mark confirmed Pep Guardiola's side as Group H winners after former striker Zlatan Ibrahimovic, and Boateng had cancelled out a Mark van Bommel own goal and a Lionel Messi strike.
After the match, the Ghanaian praised his side's display and stated they were unlucky not to get a better a result against the Champions League holders.
"We had a great match today, we played well," Boateng told Sky Sport Italia. "Barcelona are a great team, but we were unfortunate.
"However, the most important thing was to qualify for the knockout stages.
"Guardiola's side are the best in the world, but today it was seen that we are also very strong when we are focused."
Milan will visit Viktoria Plzen in their last Champions League group match, while Barcelona will host BATE Borisov.