Tyres slightly dented

Hello first of all, I just registered =) I slipped away in a curve due to the snow and the corresponding smoothness with my Audi 80 B4. I couldn’t do anything at all. I then clapped against the curb at about 10-15 km/h, engine went off, but could also start immediately again. The wheel caps just fell off, but the two left tyres (both front and rear) at the lower side where I slipped against the curb are now easy I was told by a former car mechanic that this would not be a problem and I could go on with it without any problems. Would you agree with this or do you think there are dangers? I honestly wouldn’t know what should happen now.. Hope you know what to say, dear greetings and a happy after Christmas Benny