BOSTON — Curt Schilling, the former major league pitcher who won the allegiance of Bostonians by leading the Red Sox to the 2004 World Series, said Wednesday that he has ‘‘some interest’’ in running for the seat held for nearly 50 years by Democratic Sen. Edward M. Kennedy.

Schilling, a registered independent and longtime Republican supporter, wrote on his blog that while his family and video game company, 38 Studios, are high priorities, ‘‘I do have some interest in the possibility.’’

‘‘That being said, to get to there, from where I am today, many, many things would have to align themselves for that to truly happen,’’ he added.

Any other comment ‘‘would be speculation on top of speculation,’’ Schilling said, adding, ‘‘My hope is that whatever happens, and whomever it happens to, this state makes the decision and chooses the best person — regardless of sex, race, religion or political affiliation — to help get this state back to the place it deserves to be.’’

State election law would limit Schilling to running solely as an independent candidate because it requires those seeking a major party nomination to have been enrolled in that party for at least 90 days before the Nov. 3 deadline for filing nomination papers with the state Elections Division.

Schilling told New England Cable News that he has been contacted ‘‘by people whose opinion I give credence to,’’ but he did not elaborate. He declined to comment when The Associated Press called his office.