Action 2 of the European Union’s Updated Bioeconomy Strategy, i.e., “Deploy local bioeconomies rapidly across Europe”, promotes education and training in all member states. It is a fact that Greece has not yet adopted a national bioeconomy strategy, so stakeholders and farmers cannot benefit from its potential. The adoption of bioeconomy practices is now a prerequisite for receiving funding under the Common Agricultural Policy 2023–2027. Farmers unknowingly use some bioeconomy practices on their farms, and in this study, an attempt was made to investigate how farmers in the region of Western Macedonia would like to be trained in respect of the bioeconomy, knowing the opportunities it offers. The research was conducted through a structured questionnaire answered by 412 farmers from the region. The findings from the subsequent k-means cluster analysis show that farmers can be classified into three clusters: engaged, restricted, and partially engaged. The perceptions that predominate in each cluster are influenced by age, income, and the regional unit in which the farmers reside. In addition, the decarbonization of the Western Macedonia region influences their views and how they would like to be informed about opportunities arising from the bioeconomy. Limitations in this study include the fact that the sample consists only of farmers living and operating in a particular region. In addition, there is an urgent need for political will to establish a national strategy for the bioeconomy. The importance of the present study lies in the fact that few studies have addressed the training of farmers on bioeconomy issues either in Greece or internationally.