I need to know if I can use high temperature to detect the free radicals in oil which I stored one month in 37°C. because I tried room temperature but I didn't get any signal.
If you have tried to get the ESR spectrum at RT and no signal was detected, it is even less probable to get it at higher temperature. Furthermore, if the oil was stores during 1 month at 37ºC, the chance of the presence of trapped paramagnetic species is very low.
Free radicals in oil are very reactive, no chance to see them by ESR. Instead, you may look at peroxides in you samples. ROOH are the primary products formed from ROO(.) radicals in oil oxidation by air.
In my opinion, heating up to 70ºC can generate new free radicals that didn't exist before. As Prof. Geletti suggested, if hydroperoxides are present in the oil samples, which is very likely, heating can induce the homolysis of the week O-O bond, generating alcohoxyl radicals, responsible for the EPR signal you got.