Literally translated, thanking the HR guy for even looking at your application could be considered unnecessarily submissive (After all, he just does his job).
European culture assumes you are proud of your job, your skills and your abilities. Employer and applicant should meet at eye level - No need to be submissive here, and it could come across as low self-esteem ("Why is he begging for a job?"). There is a fine balance that needs to be adjusted without sounding arrogant.
End your application with a standard formal greeting - That is enough. If you want to add a bit of emphasis that you are really keen on this specific job or employer, add a
Ich freue mich, bald von Ihnen zu hören,
mit freundlichen Grüßen