Although Franco declared Spain officially 'non-belligerent', he was ideologically tied to the Axis powers and had a friendly relationship with both Hitler and Mussolini, who had both supported him with military and financial aid during the Spanish Civil War.
Given his close relationship to these countries and ideological leanings, how did Spain deal with the rest of Europe after war?
You might be interested in this earlier answer I wrote up on Spain's place entering the Cold War.
TL;DR: The Soviet Union was very unhappy with Spain due to the Blue Division, and thus advocated making Spain an outcast on the international stage. Given the strong anti-Communist leanings, within a few years the West saw Francoist Spain as a possible ally in the Cold War, and her reputation began to be repaired.
The important thing to understand is that while he had sympathies in some areas and "Fascist Spain" is used as a common descriptor for the regime through the mid-1940s at least, Franco isn't best described as a fascist himself, so much as adaptable. He was virulently anti-communist, but in many ways was just a very conservative individual driven by nationalist sentiments. So while saying "Fascist Spain" isn't wrong per se, especially when you start talking about the Cold War, it is a label that kind of clouds ones understanding, as Spain was able to quickly shed the guilt-by-association with Italy and Germany.