Deploying these kind of health IT systems, added Papanikolaou, can "facilitate growth, socioeconomic progress and can help in creating employment opportunities."

Greece's e-prescribing system, however, has not escaped criticism. Early last year, the online system suffered a similar fate to HealthCare.gov, reportedly crashing numerous times and being offline throughout various weeks. 

[See also: Minnesota top e-prescribing state.]

Additionally, some groups like the Athens Medical Association, have previously expressed concern over the system, citing the inadequate preparation time for the initial pilot. 

The system was also reportedly the target of a hacking scheme, which resulted in hackers uploading millions of counterfeit prescriptions. According to the Computer Center for Social Services, the organization in charge of the e-prescribing system, these issues have slowly been ironed out. 

However, overall, the system appears to have garnered more support than criticism. 

Konstantinos Frouzis, president of the the Hellenic Association of Pharmaceutical Companies -- representing the country's pharma companies -- in an April 2013 speech cited a McKinsey report that pointed to the pharma industry as a "rising star" that could help contribute big growth in Greece's economy. Frouzis called the country's e-prescribing and e-governance system, "the most important legacy you could leave," as they've helped curb the high volumes of prescriptions and ultimately decreased national expenditures. 

Because of the success of such systems observed in Greece and other countries such as Denmark, the European Union is currently working toward a cross-border e-prescription system.