Published Monday, 24 March 2014
Mr Adams has contacted police through his lawyer. (© Getty)
The Co Louth TD was responding to speculation that police might want to question him after veteran republican Ivor Bell was refused bail on Saturday.
The 77-year-old from Ramoan Gardens in west Belfast is alleged to have been a senior member of the provisional IRA during the 1970s when Mrs McConville was abducted and murdered.
He is charged with aiding and abetting her murder as well as membership of the IRA.
The court heard officers moved against the pensioner on the basis of an interview he had allegedly given researchers compiling a Troubles archive at Boston College in America - tapes a US court ordered to be handed over to the Police Service of Northern Ireland.
Other republicans interviewed for the Boston College project have alleged Mr Adams had a role in ordering Mrs McConville's death.
From 2001, researchers Ed Moloney and Anthony McIntyre spoke with republican and loyalist paramilitaries as part of an oral history of the Troubles.
Ex-IRA member Dolours Price was one of the interviewees, and it is claimed the former prisoner discussed the disappearance of Jean McConville.
Mr Adams has always denied any involvement in her murder.
Let me repeat. What happened to Jean McConville was a terrible injustice. I was not involved in any part of it. If the PSNI wish to talk to me on this matter I am available to meet them. I have asked my solicitor to contact them.
"I can understand the McConville family's anger and hurt given what they have been through and given what some anti-peace process former republican activists have been alleging," Mr Adams said in a statement.
The former west Belfast MP called the Boston Oral History project "entirely bogus, shoddy and self-serving", adding that interviewers Moloney and McIntyre are "vitriolic critics and opponents" of both him and his party.
"Some of the individuals interviewed have gone to great lengths to attack the republican struggle, the peace process and the political process through lies, distortions and personal attacks. The Boston History project is not a genuine oral history project," he added.
He reiterated his party's call for "an independent, international, truth recovery process" to deal with the past or moving forward on the Haass proposals.
On Friday, SF Vice President Mary Lou McDonald also accused Moloney and McIntyre of having a "political agenda" in choosing interviewees for the Boston project.
Responding in his blog, Moloney wrote that he had long been accused of political bias by Sinn Féin, but argued this was just an old "public relations trick designed to intimidate other members of the media by demonstrating what could happen to them if they followed my example and probed too deeply".
© UTV News