I don't think you will have a problem at all
Tow truck drivers tow cars on dry asphalt in park quite a lot. The only time there is a problem is when they tow far and it flat spots tires. That rarely happens because they usually only tow enough to get the car out of a parking spot to hook it up.
Your car was on a slippery surface so I'm sure no damage at all was done.
2012-candy red- V-6 MCA, Automatic Trans. CFM Valve cover breather. MMD blackTail light trim.Magnaflow axle back street mufflers, JLT oil catch can.MMD hood struts.
Airaid Cold Air intake. red caliper covers, 3.7L performance engine cover, Flat black hood spears.Boss 302 strut brace, CDC rear panel, Trunk Cargo net,--Dash carpet cover,
Viser stickers to cover ugly yellow warning crap,Aluminum driveshafft and Swarr Bar.