Stem cell cardiac patches have shown promising future for myocardium infarction (MI) therapy, but the characteristics of cardiac pulsation and tissue orientation lead to challenges in the design of cardiac repair scaffolds. Herein, a novel and multifunctional stem cell patch with favorable mechanical properties was reported. In this study, the scaffold was prepared by coaxial electrospinning of poly (CL-co-TOSUO)/collagen (PCT/collagen) core/shell nanofibers. Rat bone marrow-derived mesenchymal stem cells (MSCs) were seeded onto the scaffold to prepare the MSC patch. The nanofiber diameter of coaxial PCT/collagen was 945 ± 102 nm, and the tensile testing results showed that the PCT/collagen core/shell nanofibers possess highly elastic mechanical properties with an elongation at break higher than 300%. The results also showed that the MSCs maintained stem cell properties following seeding on the nano-fibers. The cells on the transplanted MSC patch survived 15 ± 4% 5 weeks following transplantation, and this PCT/collagen-MSC patch significantly improved the MI cardiac function and promoted angiogenesis. With high elasticity and good stem cell biocompatibility, the PCT/collagen core/shell nanofibers exhibited a good research value in the field of myocardial patches.