We do have sharks in Panama, and there are other dangerous animals in the oceans here. (I'm clearing myself from liabilities right away.) However, based on my five years here, and considering just my personal friends and family, one person has gotten stung by a stingray and one or two had jellyfish stings. That’s all I have ever heard of. No one went to the hospital.
When I go to the ocean, I am definitely not at all concerned about any danger from the animals there, and I don’t know that in general, anyone else is concerned about it, either.
(Pictured: San Blas Islands, Panama.)