The Argentine playmaker proved La Liga's top scorer last term with 34 goals and 12 assists for Barca, while also contributing to more than 46% of the 99 goals notched by Ernesto Valverde's side last campaign.
"It's crazy [to say] that the best club in the world depends on just one player," said Messi, according to Diario Sport.
"If that's the case, something's being done wrong because Barcelona have [too many] great players to say that they depend on just one.
"We're talking about top-level players, the best in the world, and it's crazy to say that Barcelona have 'Messi-dependence.'"
Barca claimed a seventh La Liga title in 10 years during Valverde's first season in charge last term, while also winning yet another Copa del Rey crown.