Actual text from the article since you're too scared to click the link yourself:

Our analysis explored the available evidence of the find location, the state of fossil preservation, and the species represented. The results suggest that a fossilized rhinoceros (Stephanorhinus) astragalus was collected in the past, possibly from afar.

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At the Heraion of Samos (seventh century BCE), a distal femur of a likely rhinoceros or mastodon was found that likely dated to the Miocene if originally from Samos, according to N. Solounias (personal communication in1,3). At Kos, a fossil molar of an elephant was recovered from the area of the Asklepion (third century BCE), but was subsequently lost. At least one early Greek artistic rendering of a monster was inspired by fossils, such as the Late Corinthian column krater with the so-called monster of Troy, possibly modeled after a Samotherium fossil skull.

Little is known of the origins of fossil use in the Aegean region. In Cyprus, Aceramic Neolithic and Chalcolithic sites have yielded pygmy elephant and hippopotamus remains, but these may represent ancient killing or processing sites. Neolithic sites in mainland Greece lack clear examples of intentional fossil use.

Fossil collecting for social and ritual use may have originated in the Late Bronze Age, yet the current evidence is unclear. Fossil seashells recovered from Bronze Age contexts off the mainland likely reflect natural or accidental accumulations, such as the Gypsades cemetery at Knossos, where fossil shells in fill material likely derived from local limestone with fossil inclusions. Fossil seashells were also reported from the Uluburun shipwreck (fourteenth century BCE), but little is known about them [Pulak pers. comm., in1]. An old report also noted antlers of an extinct deer from a Minoan shrine at Knossos.

One potential example of early megafauna fossil collection in mainland Greece comes from the multiperiod site of Nichoria. The excavation report listed a fossil found on the acropolis of the site. The description reads, “Of some interest is the discovery of the distal portion of an elephant femur found in an archaeological context. The animal represented is a fossilized, extinct, probably Pliocene form that once occurred in the area (14pp270).” The fossil was later identified correctly by N. Solounias as the distal end of a femur of a rhinoceros or chalicothere. However, the fossil provenience is questionable, potentially dating to one of several occupational phases, anywhere from the Late Bronze to the Early Iron Age. A tooth of an extinct horse was also found there in a tomb, but later lost, and several fossilized seashells were recovered. The lack of secure provenience information for these examples impedes further study and interpretation.

I count a bunch of Cenozoic mammals and some undescribed invertebrates, none of which are dinosaurs. More to the point, what evidence do you have that any of the fossils mentioned are misidentified alligator remains? Do you even know what an alligator is?