Partly released InGaAs layers forming a wrinkled network are used as templates for InAs growth. A systematic growth study was carried out, where InAs amounts from 0 ML to 3 ML were deposited on the patterned samples. The material migration during growth is evaluated by distinct microscopy techniques. We find a systematic accumulation of the deposited material on the released, wrinkled areas of the sample, whereas no material accumulation or formation of three-dimensional nanostructures is observed on the unreleased areas of the sample.