Control algorithms for power electronics converters traditionally rely on CPU-based controllers. However, executing these loops on a Field-Programmable Gate Array (FPGA) offloads the CPU and enables ultra-fast control rates. For three-phase AC systems requiring two PI controllers in a synchronous reference frame (dq), this technical note presents an FPGA-based dq current controller tailored for a grid-tied three-phase inverter. The algorithm features a traditional vector current control structure, complete with a decoupling network and voltage feedforward. It is packaged into a Vivado IP block utilizing AXI4-Stream interfaces for seamless hardware integration. Step-by-step implementations are demonstrated using two High-Level Synthesis (HLS) approaches: Xilinx Model Composer (Simulink) and Vitis HLS (C++). Furthermore, the note outlines offline testbenches that validate the accuracy of the FPGA models against a proven CPU-based reference prior to real-time execution.