"We've taken an important step toward making it to the European Championship".
Sergio Ramos set Spain on course for a comfortable victory over Sweden in qualifying for Euro 2020.
Austria thrashed North Macedonia 4-1 to go third while Slovenia crushed Latvia 5-0 to go fourth.
Meanwhile, in terms of the all-time appearance standings, Ramos is Spain's second-most capped player with 165 caps to his name, with Casilla the only player now lying above him (167).
But Spain eventually found a way past Olsen via Ramos' penalty, before Morata netted the game's second spot-kick and Oyarzabal wrapped up the routine win.
Ramos passed up the opportunity to score again and offered the ball to Morata, who also made no mistake from the spot, although Real Sociedad forward Oyarzabal got the biggest cheer of the evening for his impressive strike.
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"It was a great attitude by Ramos to let me take the penalty", Morata said.
It didn't deter Spain at all as they continued to control the game, though in doing so failed to create too many chances as they played their football nearly exclusively in front of Sweden.
In the early stages of the second half, Isco met an outswinging corner with a stunning volley that whistled just over the bar.
Luis Enrique is still absent because of a family matter but the national team keeps on rolling.
"They only had one attempt on goal, so we are happy with the result and with the performance", Moreno said.
There is no timetable for the coach's return.
Qualifying will resume in September, with Spain playing at Romania, and Sweden visiting the Faeroe Islands.