Fiber Reinforced Polymers (FRP) effectively enhance the load-bearing capacity of structures such as slabs, columns, and beams, particularly useful for repairing damage and retrofitting aged structures. Wrapping Glass Fiber Reinforced Polymer (GFRP) or Carbon Fiber Reinforced Polymer (CFRP) sheets improves flexural, shear, and torsional strength of structural members. A common challenge with this method is surface debonding between the FRP laminate and the concrete. This problem was solved by embedding FRP anchors into the concrete at specific depths and using anchors of a particular diameter to delay debonding. While there has been considerable research on pull-out strength of GFRP anchors using conventional strength concrete, there have been no detailed studies on CFRP anchors yet. This research numerically investigates the bonding behavior of CFRP anchors embedded in GFRP-confined cylindrical concrete blocks to determine pull-out resistance, failure modes, optimal embedment length, and anchor diameter. The study validates equations derived from experimental data on 30MPa, 35MPa, and 40MPa concrete and compares CFRP and GFRP anchors using previous studies’ data. Pull-out tests are simulated to observe failure modes and force-displacement curve. The results provide bonding mechanisms and failure, validated data between simulation and experimental data. The data support the development of design guidelines and offer additional information on CFRP anchor pullout resistance that current guidelines have not yet provided.