Suarez’s six-year stay in Catalonia came to an end following the conclusion of the 2019/2020 season after he was deemed surplus to requirements by new manager Ronald Koeman.
The Uruguay international was shipped out to La Liga rivals Atletico Madrid for a paltry amount of money which is said to be around the region of €5.5 million.
Suarez believes he deserved respect from his former club and insists he did not expect to learn about his departure from the press.
What they did hurt me and my family a lot," the former Liverpool man said. "Their form and manners were not correct.
"The moment they told me [I wasn't in their plans], I confirmed what I saw in the press, what other people told me. No one from the club had told me anything until the coach's call.
"Koeman called me to tell me that I was not in his plans when I had already known what was going to happen 10 days before.
“I spent six years at Barcelona and I always said that the club needed a young forward. They never brought anyone who could compete with me.
“Forwards have streaks and moments. I deserved at least that before I found out from the press that they didn't want me.
“I had a lot of uncertainty, because I had to go to train. I told Leo [Messi] that I knew what they were going to do to me. I was going to train happy, but I returned home sad."
The striker was asked if he would celebrate a goal against Barcelona.
"If I scored against Barcelona, I would not yell or go crazy, but I surely would point somewhere," Suarez said.
The 33-year-old will get his first chance to face his former club when the Blaugrana visit Wanda Metropolitano on November 22.