Hi Waghmare,

Refer below sample.

HTML

<asp:GridView ID="GridView1" runat="server" AutoGenerateColumns="false">
    <Columns>
        <asp:BoundField DataField="Id" HeaderText="Id" />
        <asp:BoundField DataField="Name" HeaderText="Name" />
        <asp:BoundField DataField="Country" HeaderText="Country" />
        <asp:TemplateField>
            <ItemTemplate>
                <asp:LinkButton ID="btnSave" Text="Save" runat="server" CssClass="btn btn-primary"
                    OnClick="OnSave" OnClientClick="DisableButton(this.id, 'Saving...')" />
            </ItemTemplate>
        </asp:TemplateField>
    </Columns>
</asp:GridView>
<link rel="stylesheet" media="screen" href='https://cdnjs.cloudflare.com/ajax/libs/twitter-bootstrap/3.0.3/css/bootstrap.min.css' />
<style type="text/css">
    .btn
    {
        background-color: DodgerBlue;
        border: none;
        color: white;
        cursor: pointer;
    }
        
    .btn:hover
    {
        background-color: #4CAF50;
    }
</style>
<script type="text/javascript">
    function DisableButton(btnID, newText) {
        var btn = document.getElementById(btnID);
        btn.disabled = true;
        btn.text = newText;
    }
</script>

Code

C#

protected void Page_Load(object sender, EventArgs e)
{
    if (!this.IsPostBack)
    {
        System.Data.DataTable dt = new System.Data.DataTable();
        dt.Columns.AddRange(new System.Data.DataColumn[3] { 
                        new System.Data.DataColumn("Id"),
                        new System.Data.DataColumn("Name"),
                        new System.Data.DataColumn("Country") });
        dt.Rows.Add(1, "John Hammond", "United States");
        dt.Rows.Add(2, "Mudassar Khan", "India");
        dt.Rows.Add(3, "Suzanne Mathews", "France");
        dt.Rows.Add(4, "Robert Schidner", "Russia");
        GridView1.DataSource = dt;
        GridView1.DataBind();
    }
}

protected void OnSave(object sender, EventArgs e)
{
    
}

VB.Net

Protected Sub Page_Load(ByVal sender As Object, ByVal e As EventArgs) Handles Me.Load
    If Not Me.IsPostBack Then
        Dim dt As System.Data.DataTable = New System.Data.DataTable()
        dt.Columns.AddRange(New System.Data.DataColumn(2) {
                            New System.Data.DataColumn("Id"),
                            New System.Data.DataColumn("Name"),
                            New System.Data.DataColumn("Country")})
        dt.Rows.Add(1, "John Hammond", "United States")
        dt.Rows.Add(2, "Mudassar Khan", "India")
        dt.Rows.Add(3, "Suzanne Mathews", "France")
        dt.Rows.Add(4, "Robert Schidner", "Russia")
        GridView1.DataSource = dt
        GridView1.DataBind()
    End If
End Sub

Protected Sub OnSave(ByVal sender As Object, ByVal e As EventArgs)

End Sub

Screenshot