The fact that you have asked this question tells us that you know there are differences.
The reality is that there is no "Latin American" Spanish and, indeed, no uniform Spanish in Spain.
Like English, Spanish is spoken as a primary language in many countries of the world. And in other countries, like the United States, it is a significant and widely-spoken language.
The pronunciation, usage, local idiom, and even the grammar and verb conjugations are somewhat different from country to country and even from place to place within a country.
Spanish in Galicia is different from Spanish in Murcia. Spanish in Puerto Rico is different from Spanish in Mexico and both are different from Spanish in Argentina.
The various dialects spoken in Spain, called Peninsular Spanish, are perhaps the most "different" because they use a plural form of the personal pronoun "you" (vosotros) and there is an additional conjugated-verb form to accompany it. And in Spain they have distinctive – but easily understood – variations in pronunciation.
We normally teach without the plural personal you. But we can accommodate your needs if you want to learn the additional verb forms.
Our instructors are native speakers of Spanish from different places around the world. You will hear slightly different accents depending on your instructor. (At the moment, none of our instructors are native speakers of peninsular Spanish.)
But don't worry you will be able to speak with and understand speakers from every Spanish-speaking country. English-speaking Americans, for example, can understand most of the dialects of the British Isles as well as the English of Canada, New Zealand, Australia, the Caribbean and Africa. A few dialects are more difficult than others; it only takes exposure and practice.