Deyverson expressed his admiration for Boca Juniors, noting his long-standing affection for the club because of its history and iconic figures like Maradona, Cavani, and Riquelme. He had expected a proposal from Boca Juniors, but Atlético-MG was quicker to approach him, with Milito personally reaching out. Despite receiving numerous messages from Boca fans, he decided to join Atlético-MG due to their prompt action and the way they treated him and his family. Deyverson did not rule out the possibility of playing for Boca in the future and mentioned that he leaves such decisions to God's will.

Deyverson has shared his aspiration to play for Boca Juniors, the arch-rival of River Plate. He mentioned that hearing his name chanted at La Bombonera, Boca's stadium, would make him emotional. During an interview with Diario Olé in Argentina, he conveyed that receiving an invitation to play for Boca would be exhilarating for him, as he feels that Boca represents the forward-playing spirit he admires. Despite acknowledging his respect for Cuiabá, where he is currently contracted, he emphasized that playing for Boca remains a dream for him.