The daughter of club owner Silvio Berlusconi was disappointed with the Rossoneri's Champions League defeat to the Gunners as she felt the players showed too much fear.
After a 4-0 victory in the first leg on home soil, the Serie A champion almost allowed the Gunners to overturn the deficit as it suffered a 3-0 defeat at the Emirates, with all goals being scored in the first half.
"I'm not satisfied with the way Milan played," Barbara told La Gazzetta dello Sport. "We did not see the real Milan. We were too afraid. My son covered his eyes with his hands during the second half and he kept saying: 'Mom, I am afraid that they will score'."
Her midweek visit to the Emirates, however, strengthened her belief that Milan needs to find its own stadium.
Barbara hailed Arsenal's courage in bringing down Highbury, which boasted 93 years of history, and stated that the Rossoneri need to start making plans about their own stadium, rather than share the Giuseppe Meazza with Inter.
"What Arsenal did was something which seems impossible for us, Italians," she said. "Bringing down a piece of history like Highbury would be a heresy. We must congratulate Juventus for their far-sightedness shown in having their own stadium but after watching the Emirates Stadium, we must not rule out the idea of changing home.
"All of our fans are attached to San Siro, which will have new facilities installed by 2015. Stadiums in Italy are not made for families. A stadium like Arsenal's, with restaurants, pubs and shops, allows financial return every day of the week."
Milan is back in San Siro this Sunday when it hosts Lecce in Serie A.
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