whether a citizen can file their gievances, directly in the

No, However a citizen can directly file his grievance in a court of law.

A citizen can become an  "MP"  or get himself nominated to the Parliament and put up grievances relating to its affairs, before the speaker or the parliamentary committee,

Keep Smiling .... Hemant Agarwal

Why sir and whether constitution of India support your answer?

1.  Only the immunity granted to the Parliamentarians and the Members of the Parliament can put forth their Questions or Answer questions or file Objections of its Members (who are elected representatives for the House.).

2. Besides the Members and the Attorney General, nobody else is permitted to attend Parliament.

3.  You may put up your grievances to the Elected representatives (MP's), who may put up the issue before the Parliament Houses, if it concerns the general public.

4.  The Constitution of India, has no provision or has not given any  "RIGHT"  to an ordinary citizen to Enter parliament houses and put up its grievances.  HENCE the question to approach the Parliament for redressal of ordinary citizen grievances does not arise

5.  The Parliament (Members) has enacted Laws for various purposes, under which grievances can be put up /redressed before the appropriate forum (courts).  The  "RIGHT"  under the constitution to redress  "grievances" is given under various laws to the appropriate Courts.  In a way, the parliament has delegated its powers to the Courts, under the provisions of the various Laws, which is enacted and passed by the Parliament.

6. The parliament is not a Judicial body, to hear or adjudicate or pass orders to redress your grievances AND for this purposes the parliament has enacted various laws  under which grievances can be redressed.

7.   Please don't further say that you want to approach the Parliament to redress your grievance (for taking divource)  or  for  Chronic constipation due to eating Kisan brand of Ketchep.

Keep Smiling .... Hemant Agarwal

HEMANT EXPLAINED IN DETAIL I AGREE WITH HIM