When looking at Spain's early history, cultures, such as the Phoenicians, the Romans and the Moors are often discussed in great detail. Though the Visigoths were also a historical presence within Spain shortly after the collapse of the Roman Empire, as well as throughout the Middle Ages. Many of Spain's massive Cathedrals were designed in the Gothic architectural style; even some Moorish buildings within Spain have a subtle Gothic architectural influence. So has the Visigoth/Germanic cultural and historical influence within Spain been rarely or parenthetically acknowledged?
closed as primarily opinion-based by Spencer, Mark C. Wallace♦, sempaiscuba♦, user69715, Tom Au Oct 30 '17 at 4:18
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To answer the title question, yes it is acknowledged (source: I was taught about it at school) but the data about it is brief (which is ok, since they lasted for not so much time and left very small influence, with few remains)1.
Now, you seem to be confusing the Visigoths (who ruled Spain until 711) and other Goths in general with the Gothic Architecture that appeared much, much later, and at a time the Goths no longer existed as a different people/culture. Visigothic architecture had its own style(Spanish), influenced by the Byzantine architecture and that seems very close to what later would become theRomanesque style, Gothic was developed way later.
Note that, from the Wikipedia style, the "Gothic architecture" was a pejorative (in comparation with the classical themed Renaissance architecture), and does not mean a direct relationship.
1As a side note, old comics like "Zipi y Zape" used "the complete list of Visigothic kings" (all 33 of them, in less than two centuries) one of the most hard to learn/feared school themes. Thankfully, by the time I got to school teaching was less memoristic, that list was long gone and only a handful of relevant kings were mentioned.