The development of flexible electronics (flexible/foldable displays of watches, laptops, TV, etc.) has drawn a great attention in the research field of flexible lithium-ion batteries (FLIB). FLIB is an energy storage system capable of bending according to the shapes of the electronic devices. The fabrication of FLIBs requires advance materials which have extreme mechanical and chemical properties. In this circumstance, graphene, thanks to its novel mechanical, physical and electrochemical properties, has been concerned as a potential material for FLIB electrode. In this work, we deployed the liquid phase exfoliation (LPE) method to produce graphene and utilize it for the anode of FLIBs. Graphene nanoflakes produced via LPE, has the average lateral size of ~ 150 nm and the thickness of ~ 5 nm. The electrochemical analysis shown that the flexible graphene anode at bending state and at flat state delivered a similar specific capacity of (~ 520 and 530) mAh g-1, respectively, after 100 cycles at current density of 100 mA g-1 with Coulombic Efficiency ~ 98 %. Besides, although the flexible graphene electrode at bending state revealed the decrease in specific capacities at the test with high current density (200, 500 and 1 000) mA g-1 in plenty of charge/discharge cycles, it still delivered a capacity of 520 mAh g-1 in the consecutive charge/discharge cycles at 100 mA g-1. The capacity retention of flexible graphene electrode reached 93 %. These results proved that the mechanical and electrochemical properties of flexible graphene electrode at bending state is stable during the charge/discharge cycle test, prompting further research directions in the field of graphene and related two dimensional materials for flexible electrode of FLIB.