The question is quite clear and understandable as in the title. Are there traces of Old Turkish in ancient Germanic languages? Or traces of Germanic in Old Turkish?
At the very least the appurtenances of Old Turkish linear script and common Germanic Runes prove they belonged to the same exchange network in the bigger picture. Terms that do appear in the writing of the Middle High period could hypothetically be older under the influence of standardization. A few linguistic traces of these fact aren't unexpected, but the borrowing process is more likely transmitted by intermediaries.
NB: Pfeifer notes about Ger. Köcher (quiver), "hunn. *kukur (als einzige Entlehnung aus dem Hunn.)." – Viz. the only loan from Hunnic.