How to dynamically change columns in a Matrix or Chart

Actually there is a way to accomplish this without the new fields parameter option. Bascially you need to build a table to use as the slicer listing the values of all the columns you need in a single column. Take this data as an example:

To be able to filter the item, colour and type columns, we need to create a table to use as a slicer listing all the values & the column name (& and order column for sorting purposes.

To create the new table, you can append the columns in Power Query or use the following DAX:

Select Column Table =
VAR _item =
    SELECTCOLUMNS (
        FactTable,
        "SelColumn", FactTable[Item],
        "ColumnName", "Item",
        "Order", 1
    )
VAR _colour =
    SELECTCOLUMNS (
        FactTable,
        "SelColumn", FactTable[Colour],
        "ColumnName", "Colour",
        "Order", 2
    )
VAR _type =
    SELECTCOLUMNS (
        FactTable,
        "SelColumn", FactTable[Type],
        "ColumnName", "Type",
        "Order", 3
    )
RETURN
    DISTINCT ( UNION ( _item, _colour, _type ) )

to get..

Next create relationships between the SelColumn field in this new table and each of the columns in the fact table:

Then a simple SUM measure and the following measure to use in the matrix:

Select Column Measure =
SWITCH (
    SELECTEDVALUE ( 'Select Column Table'[ColumnName] ),
    "Item", [Sum Value],
    "Colour",
        CALCULATE (
            [Sum Value],
            USERELATIONSHIP ( 'Select Column Table'[SelColumn], FactTable[Colour] )
        ),
    "Type",
        CALCULATE (
            [Sum Value],
            USERELATIONSHIP ( 'Select Column Table'[SelColumn], FactTable[Type] )
        )
)

or if you also need the grand total (which I don´t think makes much sense since the result is multiplied by the number of columns selected):

With totals =
SUMX (
    'Select Column Table',
    CALCULATE (
        SWITCH (
            SELECTEDVALUE ( 'Select Column Table'[ColumnName] ),
            "Item", [Sum Value],
            "Colour",
                CALCULATE (
                    [Sum Value],
                    USERELATIONSHIP ( 'Select Column Table'[SelColumn], FactTable[Colour] )
                ),
            "Type",
                CALCULATE (
                    [Sum Value],
                    USERELATIONSHIP ( 'Select Column Table'[SelColumn], FactTable[Type] )
                )
        )
    )
)

To get:

 I've attached the sample PBIX file

Hi jothi_prakash_a ,

If this report is published, you can give users the right to personalize as needed.

In that case, they can select whatever column they need and it will be right away done.

Hope it helps.