This paper first introduces the lean supply chain international logistics management model and then determines the optimal conditions of the logistics supply chain for B2C enterprises through logistics service integrators and logistics service subcontractors. The paper then employs a combination of the factor analysis method and the factor rotation method to identify 17 key indicators that significantly influence the service quality of the international logistics management model for cross-border e-commerce. It then analyzes these relevant indicators and proposes targeted improvement countermeasures. The results revealed that the respondents have a high level of recognition for the 17 indicators that impact international logistics management, and their mean and standard deviation are stable. The results demonstrate that the first four factors can effectively explain the majority of the original data. Their eigenvalues are 8.157, 2.338, 2.132, and 1.045, and the variance contribution rates of their factors are 47.98%, 13.75%, 12.54%, and 6.14%, respectively, with the cumulative variance contribution rate explaining 80.41% of the original data. By combining the characteristics of the indicators, we identified four key factors: procurement, logistics and customs clearance, after-sale, and overall supply chain links. This study helps to better assist in the development of an international logistics supply chain management model oriented towards cross-border e-commerce.