Yamal has established himself as an important part of Barca's forward line in the early stages of this season.
He was named man of the match in last weekend's dramatic 4-3 come-from-behind win at Villarreal in La Liga.
Yamal, who has a Moroccan father, was born and raised in Spain.
He is a Spain youth international and his call-up for the senior side will end the hopes of Moroccan fans that he could be persuaded to switch allegiance.
"We met him in Barcelona. He was a stalwart of Spain's youth teams and is a footballer with exceptional power," De la Fuente told reporters on Friday.
"He looks like he has been touched by the wand of God.
"We look at the level of the player, not the age (and) he is ready to compete at the highest level."
Real Madrid's new recruits, goalkeeper Kepa Arrizabalaga and forward Joselu, were included but there was no recall for goalkeeper David de Gea, who is a free-agent after leaving Manchester United earlier this summer.
SPAIN SQUAD
Unai Simon, Kepa Arrizabalaga, David Raya; Dani Carvajal, Aymeric Laporte, Cesar Azpilicueta, Robin Le Normand, David Garcia, Pau Torres, Alejandro Balde, Gaya; Rodri, Martin Zubimendi, Gavi, Fabian Ruiz, Mikel Merino, Alex Baena; Dani Olmo, Alvaro Morata, Marco Asensio, Lamine Yamal, Joselu, Nico Williams, Abel Ruiz.
