The invention relates inter alia to pyrazolyl-heteroarylamides of general formula (I), in which the radicals A1-A4, T, W, Q, R1 and Z1-Z3 have the meaning cited in the description. Further disclosed are methods for producing the compounds of formula (I). The compounds according to the invention are in particular suitable for controlling insects, arachnids and nematodes in agricultural applications and for controlling ectoparasites in veterinary medicine.