Which one is more natural?
1) I was worried about if I could find a job quickly.
2) I was worried about findIng a job quickly.

Question

Answer

2) I was worried about findIng a job quickly.

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2) I was worried about finding a job quickly.

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I was worred if .....   more common

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Neither is correct.

It should be "I was worried about whether or not I would find a job quickly"

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2 is better.  I come from America and we are tend to use the most concise ways of saying things.

or... „I was worried if I could find a job quickly.“ 
#2 is still more natural

Hope this helps,
Kelli