The phrase "available for internship" is correct and can be used in written English.
Example: I am currently a recent graduate and I am available for internship opportunities in the field of marketing.
Are there opportunities available for internships and jobs?
The MIT-Singapore Program may have limited funding available for internships at Singaporean companies, research institutes, and universities.
Students at all levels are available for summer internships.
This option is not available for mini-internships.
There is considerable amount of school funding available for summer internships.
The professors teaching the courses are also available for discussion about internship work and associated problems.
In some cases, stipends may be available for fieldwork or internship programs.
Is funding available for unpaid summer internships?
Awards are available to students on all three campuses, in any concentration, for work in any region between their first and second year (awards are not available for private-sector internships).
We have one paid internship available for a developer.
Candidates available for a full-time internship.
