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She is looking for a job where she can use her foreign-language skills.
Literal
She [topic-は] her own foreign-language ability [object-を] able-to-use job [object-を] is-searching-for.
A relative clause 自分の外国語の力を利用できる ('which can make use of her foreign-language ability') sits before 仕事 ('job, work') and modifies it. 利用できる is the potential form of 利用する ('to use, make use of, take advantage of'); the embedded clause describes the kind of job she's looking for. 探している is the resultative state of 探す ('to look for, search for'), here marking an ongoing search.