Synthetic wigs can be straightened, but not all of them can be flat-ironed. The fiber decides the method.
Check the label
If it says heat-resistant, follow the temperature limit. If you cannot find a limit, assume direct heat is risky.
Steam is safer than a hot iron
Steam relaxes many synthetic fibers without pressing them between plates. Work slowly and keep the hair detangled.
Test a hidden strand
One small strand can tell you whether the fiber smooths, shrivels, or melts. Do not test on the front hairline.
Bottom line
Straighten synthetic wigs with caution: steam first, low heat only if heat-safe, and never guess on a favorite wig.