The maximum current a flexible-coil current probe can measure depends on several factors, including the design, materials, and intended application of the probe. Generally, flexible-coil current probes, often based on Rogowski coil technology, are designed to measure alternating current (AC) and can handle a wide range of current levels. 
Typically, these probes can measure currents from a few amperes to several kiloamperes. Standard models are often rated for maximum currents in the range of 1,000 A to 6,000 A. However, specialized models can measure even higher currents, sometimes exceeding 100,000 A, especially in industrial or high-power applications.
The specific maximum current rating is determined by the probe's construction, including the coil's size, the number of turns, the core material (if any), and the electronics used for signal processing. The probe's bandwidth, frequency response, and linearity also play a role in defining its maximum current capability.
It's important to note that while flexible-coil current probes can measure high currents, their accuracy and performance can be affected by factors such as temperature, external magnetic fields, and the positioning of the coil around the conductor. Therefore, users should always refer to the manufacturer's specifications and guidelines to ensure accurate and safe measurements.