Messi, 32, has faced criticism for his performances for the national team as his wait for a first senior trophy at international level goes on.
But Ajax defender Tagliafico, a 25-time Argentina international, said the Barcelona star was key for his nation.
"Messi was released from the pressure to get results [at the 2019 Copa America, where Argentina finished third]," he told Ole.
"He more than anyone gets angry when he loses, but Messi became more aware that he has to enjoy the national team.