The 27-year-old Alonso's last international appearance was for the Spanish under-19 team in 2009.
"Whether it's late or not, the important thing is that I'm here," Alonso told reporters on Tuesday.
"My focus was on doing well at Chelsea and this was a welcome surprise. This is a reward for the work I've done in recent years... I'm thrilled and looking forward to this experience.
"It's a chance to prove myself and for me to adapt quickly to the side, and hopefully, to return to the national team more times."
Should Alonso earn his first cap, he would follow in the footsteps of both his grandfather and father in representing Spain at senior level.
Spain will travel to face World Cup holders Germany in Duesseldorf on Friday before hosting Argentina at the Estadio Wanda Metropolitano in Madrid on Tuesday.
"They're two very important matches to prepare for what's to come. They're nice games, against the world champions and the runner-up, special for any player," Alonso added.
(Reporting by Aditi Prakash in Bengaluru)
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