(1) Background: To evaluate a model based on the right-to-health approach, considering the impact of associated factors on the future utilization of primary healthcare services among international migrants in Chile. (2) Methods: A cross-sectional design was employed to survey 499 South American migrants residing in Chile. Ad-hoc questionnaires were used to assess their experiences related to the right to health, perceived discrimination, income, education, length of residence, age, marital status, gender, migration status, among others. Correlation analyses were conducted, followed by path analysis with significant variables to assess the fit of two models. (3) Results: Ten variables were identified as significant for path analysis. Among the two evaluated models, the final model identified six variables with significant direct and indirect effects. Among them, the availability, accessibility, acceptability, and quality of healthcare services were positively associated with the future intention to use them. Additionally, perceived racial and ethnic discrimination also had a positive effect on the intention to use healthcare services, suggesting a possible adaptive response to adversity, exhibiting acceptable goodness-of-fit indices (χ2 =241,492; p < 0.001; CFI = 0.913; TLI = 0.82; RMSEA = 0.062; SRMR = 0.05). (4) Conclusions: While the initial model provides valuable insights, it is essential to broaden the analysis to include other factors influencing the specific context of international migrants.