Background: The coronavirus disease 2019 (COVID-19) pandemic was an unprecedented shock to the healthcare systems, and its consequences on managing rare cancers are unknown. We investigated COVID-19’s impact on the activity of sarcoma-labeled networks by comparing key indicators in 2019–2020 (before and during the pandemic, respectively). Methods: We compared the incidence of limb and trunk soft tissue sarcomas, surgery rate, surgery center, surgery quality, and surgery delays nationally and in various regions, focusing on the three most severely affected regions. Findings: In this study, sarcoma incidence did not decrease, and the tumor and patient characteristics were similar in both years. The number of patients who underwent surgery in the labeled centers increased significantly (63% versus 57%, p = 0.015), the rate of R0 resection increased (55% versus 47%, p = 0.004), and the rate of re-excision decreased (12% versus 21%, p < 0.0001). In the univariate analysis, the time to surgery was similar in both years. Cox regression analysis revealed that the factors associated with a longer time to surgery were age > 70 years ( p = 0.003), retroperitoneal location ( p > 0.001), tumor size ( p < 0.001), deep tumors ( p < 0.001), and regions ( p < 0.001). However, we have observed an increase in the time before surgery in the regions most stroked by the COVID-19 pandemic. Interpretation: The model of the labeled center network for managing rare tumors was resilient. Paradoxically, the quality indicators improved during the pandemic due to the direct referral of patients with sarcomas to the labeled centers. Summary: This study shows that a nationwide network organization has made it possible to maintain care for these rare tumors during the pandemic.