I entirely appreciate that vehicles parked on pavements can cause particular problems for people in wheelchairs or with visual impairments, as well as those with pushchairs. 
 
Improving access for disabled people is a key priority for the Government. During 2016, the Department for Transport (DfT) worked with a range of interested parties to examine the legal and financial implications of an alternative pavement parking regime and the likely impacts on local authorities. I am pleased to note that this included a detailed consultation between Ministers and groups representing disabled people to help inform the DfT's evidence base on this issue.  

A key issue identified was the process for putting in place Traffic Regulation Orders (TROs) for the enforcement of pavement parking. The DfT is therefore now considering how best to address the general improvement of the TRO-making process. 
 
I understand the Government are set to make an announcement regarding pavement parking later in the spring and I will look forward to hearing it.
 
More broadly, I welcome the steps Government has already taken to make it easier for councils to tackle pavement parking. As you note, there is an historic ban on pavement parking throughout London. Elsewhere, any local authority that has taken up civil enforcement powers may introduce a ban on pavement parking where it sees fit. In 2011, Ministers gave all councils authorisation to use a sign banning parking on the pavement, removing the need to ask Whitehall for permission first.
 
Ministers have written to councils on several occasions, encouraging them to use their available powers to prevent parking on the pavement where it is a problem. The Department has also published guidance for traffic authorities, highlighting the difficulties that pavement parking causes for pedestrians and detailing ways that it can be prevented.