In an era of multidrug-resistant bacterial infections overshadowed by a lack of innovation in the antimicrobial drug development pipeline, there has been a resurgence in multidisciplinary approaches aimed at tackling this global health problem. One such approach is to use metal complexes as a framework for new antimicrobials. Indeed, in this context, bismuth-, silver- and gold-derived compounds in particular have displayed demonstrable antimicrobial activity. In this work, we discuss the antimicrobial and antifungal activities of terpene-derived chiral palladium complexes against Staphylococcus aureus, Pseudomonas aeruginosa, Klebsiella pneumoniae, Acinetobacter baumannii, Escherichia coli, Candida albicans, and Cryptococcus neoformans. It was established that all studied coordination compounds of palladium were highly active antifungal drugs. In contrast, the subset of palladacycles possessing a palladium–carbon bond were only active against the Gram-positive bacterium Staphylococcus aureus. All compounds were inactive against the Gram-negative bacteria tested.