This is an entry level model, which does not have a Perm Press cycle. We bought it not noticing its limited cycles, so we called LG about Permanent Press. LG said there is no equivalent cycle, or modifiers for a different cycle to get Perm Press on this model. The cycle modifiers for most brands with a Perm Press/Wrinkle Control cycle are Warm water, Medium spin speed, and Low soil level, but I'm not sure which cycle would control wrinkles. We actually returned it because of its limited wash cycles, and went with Kenmore 31312 top loader, which has a Wrinkle Control option. We like it a lot.
Also, I saw your other question. The washer does need to be balanced/leveled! It will likely move around quite a bit during a high spin speed if it isn't leveled.