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It looks like you're OK, as long you don't go into any building or structure inside the park that is marked off limits, or has a school event going on at it.§21-1277.
A. It shall be unlawful for any person in possession of a valid concealed handgun license issued pursuant to the provisions of the Oklahoma Self-Defense Act, Section 1290.1 et seq. of this title, to carry any concealed handgun into any of the following places:
1. Any structure, building, or office space which is owned or leased by a city, town, county, state, or federal governmental authority for the purpose of conducting business with the public;
2. Any meeting of any city, town, county, state or federal officials, school board members, legislative members, or any other elected or appointed officials;
3. Any prison, jail, detention facility or any facility used to process, hold, or house arrested persons, prisoners or persons alleged delinquent or adjudicated delinquent;
4. Any elementary, secondary, or vocational-technical school property;
5. Any sports arena during a professional sporting event;
6. Any place where pari-mutuel wagering is authorized by law; and
7. Any other place specifically prohibited by law.
B. For purposes of paragraphs 1, 2, 3, 5 and 6 of subsection A of this section, the prohibited place does not include and specifically excludes the following property:
a. any property set aside for the use of any vehicle, whether attended or unattended, by a city, town, county, state, or federal governmental authority,
b. any property set aside for the use of any vehicle, whether attended or unattended, by any entity offering any professional sporting event which is open to the public for admission, or by any entity engaged in pari-mutuel wagering authorized by law,
c. any property adjacent to a structure, building, or office space in which concealed weapons are prohibited by the provisions of this section,
d. any property designated by a city, town, county, or state, governmental authority as a park, recreational area, or fairgrounds; provided nothing in this subparagraph shall be construed to authorize any entry by a person in possession of a concealed handgun into any structure, building, or office space which is specifically prohibited by the provisions of subsection A of this section..
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