One possible way:

c:\@Work\Perl>perl -wMstrict -MData::Dump -le
"my $s = q{name1=value1 name2=' value2=0' name3=value3};
 ;;
 my $name     = qr{ \w+ }xms;
 my $plain    = qr{ \w+ }xms;
 my $s_quoted = qr{ ' [^\x27]* ' }xms;
 ;;
 my %h = $s =~ m{ ($name) \s* = \s* ($s_quoted | $plain) \s* }xmsg;
 dd \%h;
"
{ name1 => "value1", name2 => "' value2=0'", name3 => "value3" }
[download]

Updates:

1. Note that  \x27 in  [^\x27] represents a  ' (single-quote) character. I have to use this form because my REPL does not like unbalanced single-quotes in a command-line code expression. You can use  [^'] like a sane person.
2. Another and probably better approach would be to forget regexes and use Text::CSV or Text::CSV_XS.
3. If you need to get rid of the single-quotes and have Perl version 5.10+, try this. Note that  $s_quoted is changed and the  m// match uses  (?|pattern) from Extended Patterns.

   c:\@Work\Perl>perl -wMstrict -MData::Dump -le
   "use 5.010;
    ;;
    my $s = q{name1=value1 name2=' value2=0' name3=value3};
    ;;
    my $name     = qr{ \w+ }xms;
    my $plain    = qr{ \w+ }xms;
    my $s_quoted = qr{ [^\x27]* }xms;
    ;;
    my %h = $s =~ m{ ($name) \s* = \s* (?| ' ($s_quoted) ' | ($plain)) \s
   +* }xmsg;
    dd \%h;
   "
   { name1 => "value1", name2 => " value2=0", name3 => "value3" }
   [download]

   If you don't have 5.10, let me know. There's a simple alternative.

#!/usr/bin/perl
use warnings;
use strict;

use Marpa::R2;
use Data::Dumper;

my $input = q(name1=value1 name2=' value2=0' name3=value3);

my $dsl = << '__DSL__';

lexeme default = latm => 1
:default ::=                   action => first

List   ::= Pair                action => single
         | Pair white List     action => store
Pair   ::= Key '=' Value       action => pair
Key    ::= noneq
Value  ::= word | Quoted
Quoted ::= quote string quote  action => second

noneq  ~ [^=]+
word   ~ [^\s]+
string ~ [^']+
white  ~ [\s]+
quote  ~ [']

__DSL__

sub first  { $_[1] }
sub second { $_[2] }
sub single { [ $_[1] ] }
sub pair   { +{ $_[1] => $_[3] } }
sub store  { [ $_[1], @{ $_[3] } ] }


my $grammar = 'Marpa::R2::Scanless::G'->new( { source => \$dsl } );
my $value_ref = $grammar->parse( \$input, 'main' );
print Dumper $value_ref;
[download]

Output:

$VAR1 = \[
            {
              'name1' => 'value1'
            },
            {
              'name2' => ' value2=0'
            },
            {
              'name3' => 'value3'
            }
          ];
[download]

Two good possibilities! I will try to test this weekend and see what shakes out.

Thanks!